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Factoring ideals in integral domains / / Marco Fontana, Evan Houston, Thomas Lucas
| Factoring ideals in integral domains / / Marco Fontana, Evan Houston, Thomas Lucas |
| Autore | Fontana Marco |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (169 p.) |
| Disciplina | 512.7 |
| Altri autori (Persone) |
HoustonEvan <1948->
LucasThomas |
| Collana | Lecture notes of the Unione Matematica Italiana |
| Soggetto topico | Integral domains |
| ISBN |
1-283-63150-4
9786613943958 3-642-31712-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Factoring Ideals in Integral Domains; Preface; Contents; Chapter 1 Introduction; Chapter 2 Sharpness and Trace Properties; 2.1 h-Local Domains; 2.2 Sharp and Double Sharp Domains; 2.3 Sharp and Antesharp Primes; 2.4 Trace Properties; 2.5 Sharp Primes and Intersections; Chapter 3 Factoring Ideals in Almost Dedekind Domains and Generalized Dedekind Domains; 3.1 Factoring with Radical Ideals; 3.2 Factoring Families for Almost Dedekind Domains; 3.3 Factoring Divisorial Ideals in Generalized Dedekind Domains; 3.4 Constructing Almost Dedekind Domains
Chapter 4 Weak, Strong and Very Strong Factorization4.1 History; 4.2 Weak Factorization; 4.3 Overrings and Weak Factorization; 4.4 Finite Divisorial Closure; Chapter 5 Pseudo-Dedekind and Strong Pseudo-Dedekind Factorization; 5.1 Pseudo-Dedekind Factorization; 5.2 Local Domains with Pseudo-Dedekind Factorization; 5.3 Strong Pseudo-Dedekind Factorization; 5.4 Factorization and the Ring R(X); Chapter 6 Factorization and Intersections of Overrings; 6.1 h-Local Maximal Ideals; 6.2 Independent Pairs of Overrings; 6.3 Jaffard Families and Matlis Partitions; 6.4 Factorization Examples Symbols and DefinitionsReferences; Index |
| Record Nr. | UNINA-9910438153403321 |
Fontana Marco
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| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rings, modules, algebras and abelian groups / / edited by Alberto Facchini, Evan Houston, Luigi Salce
| Rings, modules, algebras and abelian groups / / edited by Alberto Facchini, Evan Houston, Luigi Salce |
| Pubbl/distr/stampa | [Boca Raton] : , : CRC Press, , [2020] |
| Descrizione fisica | 1 online resource (525 p.) |
| Disciplina | 512/.25 |
| Collana | Lecture notes in pure and applied mathematics |
| Soggetto topico |
Abelian groups
Rings (Algebra) Modules (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-429-16436-X
0-8247-5081-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Participants to the Conference; Contributors; Additive Galois Theory of Modules; Finitely Generated and Cogenerated QD Groups; Direct Limits of Modules of Finite Projective Dimension; Classification of a Class of Almost Completely Decomposable Groups; A Polynomial Ring Sampler; The Picard Group of the Ring of Integer-valued Polynomials on a Valuation Domain; A Note on Cotilting Modules and Generalized Morita Duality; Dualities Induced by Cotilting Bimodules; Symmetries and Asymmetries for Cotilting Bimodules
A Constructive Solution to the Base Change Decomposition Problem in B(1)-groupsOn a Property of the Adele Ring of the Rationals; On Strong Going-between, Going-down, and Their Universalizations; Factorization of Divisorial Ideals in a Generalized Krull Domain; Divisorial Multiplication Rings; Global Deformations of Lie Algebras; Maximal Prime Divisors in Arithmetical Rings; On Strongly Flat Modules over Matlis Domains; Group Identities on Unit Groups of Group Algebras; Forty Years of Commutative Ring Theory; Modules Induced from a Normal Subgroup of Prime Index Uniquely Transitive Torsion-free Abelian GroupsGeneralized E-Rings; Butler Modules and Bext; Remarks on the Multiplicative Structure of Certain One-dimensional Integral Domains; Non-finitely Generated Prime Ideals in Subrings of Power Series Rings; Rings with Finitely Many Orbits under the Regular Action; Projective Covers and Injective Hulls in Abelian Length Categories; Semigroup Rings that are Inside Factorial and their Cale Representation; Reduced Modules; The Mori Property in Rings with Zero Divisors; Minimal Prime Ideals and Generalizations of Factorial Domains Factorizations of Monic PolynomialsMonotone Complete Ordered Fields, Generalized Power Series, and Integer Parts; On Distance between Finite Rings; Affine Pairs; When a Super-decomposable Pure-injective Module over a Serial Ring Exists; Path Coalgebras of Quivers with Relations and a Tame-wild Dichotomy Problem for Coalgebras; On Central Galois Algebras of a Galois Algebra |
| Record Nr. | UNINA-9910455370903321 |
| [Boca Raton] : , : CRC Press, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rings, modules, algebras and abelian groups / / edited by Alberto Facchini, Evan Houston, Luigi Salce
| Rings, modules, algebras and abelian groups / / edited by Alberto Facchini, Evan Houston, Luigi Salce |
| Pubbl/distr/stampa | [Boca Raton] : , : CRC Press, , [2020] |
| Descrizione fisica | 1 online resource (525 p.) |
| Disciplina | 512/.25 |
| Collana | Lecture notes in pure and applied mathematics |
| Soggetto topico |
Abelian groups
Rings (Algebra) Modules (Algebra) |
| ISBN |
0-429-16436-X
0-8247-5081-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Participants to the Conference; Contributors; Additive Galois Theory of Modules; Finitely Generated and Cogenerated QD Groups; Direct Limits of Modules of Finite Projective Dimension; Classification of a Class of Almost Completely Decomposable Groups; A Polynomial Ring Sampler; The Picard Group of the Ring of Integer-valued Polynomials on a Valuation Domain; A Note on Cotilting Modules and Generalized Morita Duality; Dualities Induced by Cotilting Bimodules; Symmetries and Asymmetries for Cotilting Bimodules
A Constructive Solution to the Base Change Decomposition Problem in B(1)-groupsOn a Property of the Adele Ring of the Rationals; On Strong Going-between, Going-down, and Their Universalizations; Factorization of Divisorial Ideals in a Generalized Krull Domain; Divisorial Multiplication Rings; Global Deformations of Lie Algebras; Maximal Prime Divisors in Arithmetical Rings; On Strongly Flat Modules over Matlis Domains; Group Identities on Unit Groups of Group Algebras; Forty Years of Commutative Ring Theory; Modules Induced from a Normal Subgroup of Prime Index Uniquely Transitive Torsion-free Abelian GroupsGeneralized E-Rings; Butler Modules and Bext; Remarks on the Multiplicative Structure of Certain One-dimensional Integral Domains; Non-finitely Generated Prime Ideals in Subrings of Power Series Rings; Rings with Finitely Many Orbits under the Regular Action; Projective Covers and Injective Hulls in Abelian Length Categories; Semigroup Rings that are Inside Factorial and their Cale Representation; Reduced Modules; The Mori Property in Rings with Zero Divisors; Minimal Prime Ideals and Generalizations of Factorial Domains Factorizations of Monic PolynomialsMonotone Complete Ordered Fields, Generalized Power Series, and Integer Parts; On Distance between Finite Rings; Affine Pairs; When a Super-decomposable Pure-injective Module over a Serial Ring Exists; Path Coalgebras of Quivers with Relations and a Tame-wild Dichotomy Problem for Coalgebras; On Central Galois Algebras of a Galois Algebra |
| Record Nr. | UNINA-9910780309803321 |
| [Boca Raton] : , : CRC Press, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||