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Categories of modules over endomorphism rings / / Theodore G. Faticoni
| Categories of modules over endomorphism rings / / Theodore G. Faticoni |
| Autore | Faticoni Theodore G (Theodore Gerard), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (159 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Endomorphism rings
Modules (Algebra) Categories (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0069-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction and Preliminaries""; ""1.1 INTRODUCTION""; ""1.2 PRELIMINARIES""; ""2 Construction of the Categories""; ""2.1 Aâ€?TORSIONâ€?FREE MODULES""; ""2.2 Aâ€?RESOLUTIONS""; ""2.3 A QUOTIENT CATEGORY""; ""3 Tensor and Horn Functors""; ""3.1 A FACTORIZATION OF T[sub(A)]""; ""3.2 THE RIGHT ADJOINT OF t[sub(A)]""; ""4 Category Equivalences""; ""4.1 R[sub(o)](F[sub(A)]) AND R[sub(o)](P[sub(A)]) ARE EQUIVALENT""; ""4.2 (F[sub(A))sub(o)]O AND Î?[sub(o)](P[sub(A)] ARE EQUIVALENT""; ""4.3 SELFâ€?SMALL MODULES""; ""4.4 EQUIVALENCES AND TORSION CLASSES""; ""5 Special Morphisms""
""8.4 A�DIVISIBLE MODULES""""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480541103321 |
Faticoni Theodore G (Theodore Gerard), <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Categories of modules over endomorphism rings / / Theodore G. Faticoni
| Categories of modules over endomorphism rings / / Theodore G. Faticoni |
| Autore | Faticoni Theodore G (Theodore Gerard), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (159 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Endomorphism rings
Modules (Algebra) Categories (Mathematics) |
| ISBN | 1-4704-0069-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction and Preliminaries""; ""1.1 INTRODUCTION""; ""1.2 PRELIMINARIES""; ""2 Construction of the Categories""; ""2.1 Aâ€?TORSIONâ€?FREE MODULES""; ""2.2 Aâ€?RESOLUTIONS""; ""2.3 A QUOTIENT CATEGORY""; ""3 Tensor and Horn Functors""; ""3.1 A FACTORIZATION OF T[sub(A)]""; ""3.2 THE RIGHT ADJOINT OF t[sub(A)]""; ""4 Category Equivalences""; ""4.1 R[sub(o)](F[sub(A)]) AND R[sub(o)](P[sub(A)]) ARE EQUIVALENT""; ""4.2 (F[sub(A))sub(o)]O AND Î?[sub(o)](P[sub(A)] ARE EQUIVALENT""; ""4.3 SELFâ€?SMALL MODULES""; ""4.4 EQUIVALENCES AND TORSION CLASSES""; ""5 Special Morphisms""
""8.4 A�DIVISIBLE MODULES""""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788751503321 |
|
Faticoni Theodore G (Theodore Gerard), <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Categories of modules over endomorphism rings / / Theodore G. Faticoni
| Categories of modules over endomorphism rings / / Theodore G. Faticoni |
| Autore | Faticoni Theodore G (Theodore Gerard), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (159 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Endomorphism rings
Modules (Algebra) Categories (Mathematics) |
| ISBN | 1-4704-0069-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction and Preliminaries""; ""1.1 INTRODUCTION""; ""1.2 PRELIMINARIES""; ""2 Construction of the Categories""; ""2.1 Aâ€?TORSIONâ€?FREE MODULES""; ""2.2 Aâ€?RESOLUTIONS""; ""2.3 A QUOTIENT CATEGORY""; ""3 Tensor and Horn Functors""; ""3.1 A FACTORIZATION OF T[sub(A)]""; ""3.2 THE RIGHT ADJOINT OF t[sub(A)]""; ""4 Category Equivalences""; ""4.1 R[sub(o)](F[sub(A)]) AND R[sub(o)](P[sub(A)]) ARE EQUIVALENT""; ""4.2 (F[sub(A))sub(o)]O AND Î?[sub(o)](P[sub(A)] ARE EQUIVALENT""; ""4.3 SELFâ€?SMALL MODULES""; ""4.4 EQUIVALENCES AND TORSION CLASSES""; ""5 Special Morphisms""
""8.4 A�DIVISIBLE MODULES""""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910828266003321 |
|
Faticoni Theodore G (Theodore Gerard), <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite rank torsion free abelian groups and rings / / D. M. Arnold
| Finite rank torsion free abelian groups and rings / / D. M. Arnold |
| Autore | Arnold David M. |
| Edizione | [1st ed. 1982.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1982] |
| Descrizione fisica | 1 online resource (X, 198 p.) |
| Disciplina | 512.2 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Quotient rings
Endomorphism rings |
| ISBN | 3-540-39234-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Notation and preliminaries -- Types and rank—1 groups -- Examples of indecomposable groups and direct sums -- Endomorphism rings and decompositions of rank 2 groups -- Pure subgroups of completely decomposable groups -- Homogeneous completely decomposable groups and generalizations -- Completely decomposable groups and generalizations -- Additive categories, quasi-isomorphism and near-isomorphism -- Stable range, substitution, cancellation, and exchange properties -- Subrings of finite dimensional Q-algebras -- Orders in finite dimensional simple Q-algebras -- Maximal orders in finite dimensional simple Q-algebras -- Near isomorphism and genus class -- Grothendieck groups -- Additive groups of subrings of finite dimensional Q-algebras -- Q-simple and p-simple groups. |
| Record Nr. | UNISA-996466536903316 |
|
Arnold David M.
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Finite rank torsion free abelian groups and rings / David M. Arnold
| Finite rank torsion free abelian groups and rings / David M. Arnold |
| Autore | Arnold, David M. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1982 |
| Descrizione fisica | vi, 191 p. ; 25 cm. |
| Disciplina |
510
512.2 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 931 |
| Soggetto topico |
Endomorphism rings
Quotient rings Torsion free Abelian groups |
| ISBN | 3540115579 |
| Classificazione | AMS 20K15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000892209707536 |
|
Arnold, David M.
|
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| Berlin : Springer-Verlag, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith
| Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith |
| Pubbl/distr/stampa | Berlin, : New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (508 p.) |
| Disciplina | 510 |
| Altri autori (Persone) |
CornerA. L. S <1934-2006.> (Anthony Leonard Southern)
GöbelR <1940-> (Rüdiger) GoldsmithBrendan |
| Soggetto topico |
Modules (Algebra)
Abelian groups Model theory Endomorphism rings |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-99346-8
9786611993467 3-11-020303-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups - an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy |
| Record Nr. | UNINA-9910454599903321 |
| Berlin, : New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith
| Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith |
| Pubbl/distr/stampa | Berlin, : New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (508 p.) |
| Disciplina | 510 |
| Altri autori (Persone) |
CornerA. L. S <1934-2006.> (Anthony Leonard Southern)
GöbelR <1940-> (Rüdiger) GoldsmithBrendan |
| Soggetto topico |
Modules (Algebra)
Abelian groups Model theory Endomorphism rings |
| Soggetto non controllato |
Algebra
Commutative Ring Indecomposable Module Module Ring |
| ISBN |
1-281-99346-8
9786611993467 3-11-020303-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups - an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy |
| Record Nr. | UNINA-9910782768103321 |
| Berlin, : New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith
| Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith |
| Pubbl/distr/stampa | Berlin, : New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (508 p.) |
| Disciplina | 510 |
| Altri autori (Persone) |
CornerA. L. S <1934-2006.> (Anthony Leonard Southern)
GöbelR <1940-> (Rüdiger) GoldsmithBrendan |
| Soggetto topico |
Modules (Algebra)
Abelian groups Model theory Endomorphism rings |
| Soggetto non controllato |
Algebra
Commutative Ring Indecomposable Module Module Ring |
| ISBN |
1-281-99346-8
9786611993467 3-11-020303-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Anthony Leonard Southern Corner 1934-2006 -- Groups of units of orders in Q-algebras -- Basic subgroups and freeness, a counterexample -- An extension of Butler's theorem on endomorphism rings -- Locally free abelian groups of finite rank -- Decompositions of global crq-groups -- Endomorphisms and automorphisms of squares of abelian groups -- Classification of a class of finite rank Butler groups -- Quotient divisible and almost completely decomposable groups -- Pure subgroups of completely decomposable groups - an algorithmic approach -- Strong subgroup chains and the Baer-Specker group -- On direct decompositions of Butler B(2)-groups -- Diagonal equivalence of matrices -- Root bases of polynomials over integral domains -- A solution to a problem on lattice isomorphic Abelian groups -- A note on Axiom 3 and its dual for abelian groups -- Units of modular p-mixed abelian group algebras -- Pure covers in abelian p-groups -- Partially decomposable primary Abelian groups and the generalized core class property -- The additive group of a finite local ring in which each ideal can be n-generated -- A Jacobson radical isomorphism theorem for torsion-free modules -- Anti-isomorphisms and the failure of duality -- Automorphism groups of models of first order theories -- The classification problem for finite rank Butler groups -- L-groups -- Co-local subgroups of nilpotent groups of class 2 -- Divisible envelopes and cotorsion pairs over integral domains -- The first Brauer-Thrall conjecture -- A version of the Baer splitting problem for noetherian rings -- Characterizations and constructions of h-local domains -- Variations on Whitehead's problem and the structure of Ext -- The lattice of torsionfree precover classes -- Non-singular rings of injective dimension 1 -- On classes defining a homological dimension -- Truncated path algebras are homologically transparent -- Representations of the category of serial modules of finite Goldie dimension -- Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy |
| Record Nr. | UNINA-9910821584603321 |
| Berlin, : New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modules over endomorphism rings / Theodore G. Faticoni
| Modules over endomorphism rings / Theodore G. Faticoni |
| Autore | Faticoni, Theodore Gerard |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 2010 |
| Descrizione fisica | xx, 372 p. : ill. ; 25 cm |
| Disciplina | 512.5 |
| Collana | Encyclopedia of mathematics and its applications ; 130 |
| Soggetto topico |
Endomorphism rings
Modules (Algebra) |
| ISBN |
9780521199605
0521199603 |
| Classificazione |
AMS 13-02
LC QA251.5.F38 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000512449707536 |
|
Faticoni, Theodore Gerard
|
||
| Cambridge : Cambridge University Press, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
