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Groups, modules, and model theory - surveys and recent developments : in memory of Rüdiger Göbel / / edited by Manfred Droste, László Fuchs, Brendan Goldsmith, Lutz Strüngmann
| Groups, modules, and model theory - surveys and recent developments : in memory of Rüdiger Göbel / / edited by Manfred Droste, László Fuchs, Brendan Goldsmith, Lutz Strüngmann |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XXXIV, 475 p. 30 illus.) |
| Disciplina | 512.2 |
| Soggetto topico |
Group theory
Group Theory and Generalizations |
| ISBN | 3-319-51718-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Rudiger Gobel: An Appreciation (Droste, Fuchs, Goldsmith, Strungman) -- Part I: Survey Articles -- Properties of Abelian groups determined by their endomorphism ring (Albrecht) -- The zero-divisor graph of a commutative semigroup: a survey (Anderson, Badawi) -- A Remak-Krull-Schmidt class of torsion-free Abelian groups (Arnold, Mader, Mutzbauer, Solak) -- Rigid À1-free Abelian groups with prescribed factors and their role in the theory of cellular covers (Strungmann) -- Definable valuations induced by definable subgroups (Dupont) -- Groups of automorphisms of totally ordered sets: techniques, model theory and applications in decision problems (Glass) -- Algebraic entropies for Abelian groups with applications to the structure of their endomorphism rings: a survey (Goldsmith, Salce) -- On subsets and subgroups defined by commutators and some related questions (Charlotte Kappe, Longobardi, Maj) -- Recent progress in module approximations (Trlifaj) -- Part II: Research Articles -- A class of pure subgroups of the Specker group (Corner) -- Countable 1-transitive trees (Chicot, Truss) -- On Ore’s theorem and universal words for permutations and injections of infinite sets (Droste) -- An extension of M.C.R. Butler’s theorem on endomorphism rings (Dugas, Herden, Shelah) -- The Jacobson radical’s role in isomorphism theorems for p-adic modules extends to topological isomorphism (Flagg) -- A note on Hieronymi’s theorem: every definably complete structure is definably Baire (Fornasiero) -- Cotorsion and Tor pairs and finitistic dimensions over commutative rings (Fuchs) -- Permutation groups without irreducible elements (Glass, Macpherson) -- R-Hopfian and L-co-Hopfian Abelian groups (with an appendix by A.L.S. Corner on near automorphisms of an Abelian group) (Goldsmith, Gong) -- On the Abelianization of certain topologist’s products (Herfort, Hojka) -- Some remarks on DP-minimal groups (Kaplan, Levi, Simon) -- Square subgroups of decomposable rank three groups (Karimi) -- An invariant on primary Abelian groups with applications to their projective dimensions (Keef) -- The valuation difference rank of a quasi-ordered difference field (Kuhlmann, Matusinski, Point) -- The lattice of U-sequences of an Abelian p-group (McLean) -- Strongly non-singular rings and Morita equivalence (McQuaig) -- The class of (2,3)-groups with homocyclic regulator quotient of exponent p2 (Solak) -- Unbounded monotone subgroups of the Baer-Specker group (Wald) -- Clusterization of correlation functions (Zuevsky). |
| Record Nr. | UNINA-9910254283403321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| 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 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 : in memory of A.L.S. Corner / / editors, Rudiger Gobel, Brendan Goldsmith
| Models, modules and Abelian groups : in memory of A.L.S. Corner / / editors, Rudiger Gobel, Brendan Goldsmith |
| Edizione | [1st ed.] |
| 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)
GobelR <1940-> (Rudiger) GoldsmithBrendan |
| Soggetto topico |
Modules (Algebra)
Abelian groups Model theory Endomorphism rings |
| 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 | ||
| ||