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Classical artinian rings and related topics [[electronic resource] /] / Yoshitomo Baba, Kiyoichi Oshiro
| Classical artinian rings and related topics [[electronic resource] /] / Yoshitomo Baba, Kiyoichi Oshiro |
| Autore | Baba Yoshitomo |
| Pubbl/distr/stampa | [Hackensack], N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 512/.4 |
| Altri autori (Persone) | ŌshiroKiyoichi <1943-> |
| Soggetto topico |
Artin rings
Commutative rings Rings (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76146-3
9786612761461 981-4287-25-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; List of Symbols; 1. Preliminaries; 1.1 Background Sketch; 1.2 Semiperfect Rings and Perfect Rings; 1.3 Frobenius Algebras, and Nakayama Permutations and Nakayama Automorphisms of QF-Rings; 1.4 Notation in Matrix Representations of Rings; COMMENTS; 2. A Theorem of Fuller; 2.1 Improved Versions of Fuller's Theorem; 2.2 M-Simple-Injective and Quasi-Simple-Injective Modules; 2.3 Simple-Injectivity and the Condition r[e, g, f]; 2.4 ACC on Right Annihilator Ideals and the Condition r[e, g, f]; 2.5 Injectivity and Composition Length; COMMENTS; 3. Harada Rings
5.2 Self-Duality and Almost Self-Duality of Left Harada Rings5.3 Koike's Example of a QF-Ring without a Nakayama Automorphism; 5.4 Factor Rings of QF-Rings with a Nakayama Automorphism; COMMENTS; 6. Skew Matrix Rings; 6.1 Definition of a Skew Matrix Ring; 6.2 Nakayama Permutations vs Given Permutations; 6.3 QF-Rings with a Cyclic Nakayama Permutation; 6.4 Strongly QF-Rings; 6.5 Block Extensions of Skew Matrix Rings; COMMENTS; 7. The Structure of Nakayama Rings; 7.1 Kupisch Series and Kupisch Well-Indexed Set via Left HRings; 7.2 Nakayama QF-Rings; 7.3 A Classification of Nakayama Rings 7.4 An Example of a Nakayama QF-Ring of KNP(1 ! 1)-Type7.5 The Self-Duality of Nakayama Rings; COMMENTS; 8. Modules over Nakayama Rings; 8.1 Characterizations of Nakayama Rings by Lifting and Extending Properties; COMMENTS; 9. Nakayama Algebras; 9.1 Nakayama Algebras over Algebraically Closed Fields; 9.2 Nakayama Group Algebras; COMMENTS; 10. Local QF-rings; 10.1 Local QF-rings; 10.2 Examples of Local QF-Rings with Radical Cubed Zero; COMMENTS; Open Questions; Bibliography; Index |
| Record Nr. | UNINA-9910455611003321 |
Baba Yoshitomo
|
||
| [Hackensack], N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical artinian rings and related topics [[electronic resource] /] / Yoshitomo Baba, Kiyoichi Oshiro
| Classical artinian rings and related topics [[electronic resource] /] / Yoshitomo Baba, Kiyoichi Oshiro |
| Autore | Baba Yoshitomo |
| Pubbl/distr/stampa | [Hackensack], N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 512/.4 |
| Altri autori (Persone) | ŌshiroKiyoichi <1943-> |
| Soggetto topico |
Artin rings
Commutative rings Rings (Algebra) |
| ISBN |
1-282-76146-3
9786612761461 981-4287-25-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; List of Symbols; 1. Preliminaries; 1.1 Background Sketch; 1.2 Semiperfect Rings and Perfect Rings; 1.3 Frobenius Algebras, and Nakayama Permutations and Nakayama Automorphisms of QF-Rings; 1.4 Notation in Matrix Representations of Rings; COMMENTS; 2. A Theorem of Fuller; 2.1 Improved Versions of Fuller's Theorem; 2.2 M-Simple-Injective and Quasi-Simple-Injective Modules; 2.3 Simple-Injectivity and the Condition r[e, g, f]; 2.4 ACC on Right Annihilator Ideals and the Condition r[e, g, f]; 2.5 Injectivity and Composition Length; COMMENTS; 3. Harada Rings
5.2 Self-Duality and Almost Self-Duality of Left Harada Rings5.3 Koike's Example of a QF-Ring without a Nakayama Automorphism; 5.4 Factor Rings of QF-Rings with a Nakayama Automorphism; COMMENTS; 6. Skew Matrix Rings; 6.1 Definition of a Skew Matrix Ring; 6.2 Nakayama Permutations vs Given Permutations; 6.3 QF-Rings with a Cyclic Nakayama Permutation; 6.4 Strongly QF-Rings; 6.5 Block Extensions of Skew Matrix Rings; COMMENTS; 7. The Structure of Nakayama Rings; 7.1 Kupisch Series and Kupisch Well-Indexed Set via Left HRings; 7.2 Nakayama QF-Rings; 7.3 A Classification of Nakayama Rings 7.4 An Example of a Nakayama QF-Ring of KNP(1 ! 1)-Type7.5 The Self-Duality of Nakayama Rings; COMMENTS; 8. Modules over Nakayama Rings; 8.1 Characterizations of Nakayama Rings by Lifting and Extending Properties; COMMENTS; 9. Nakayama Algebras; 9.1 Nakayama Algebras over Algebraically Closed Fields; 9.2 Nakayama Group Algebras; COMMENTS; 10. Local QF-rings; 10.1 Local QF-rings; 10.2 Examples of Local QF-Rings with Radical Cubed Zero; COMMENTS; Open Questions; Bibliography; Index |
| Record Nr. | UNINA-9910780722803321 |
|
Baba Yoshitomo
|
||
| [Hackensack], N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical artinian rings and related topics / / Yoshitomo Baba, Kiyoichi Oshiro
| Classical artinian rings and related topics / / Yoshitomo Baba, Kiyoichi Oshiro |
| Autore | Baba Yoshitomo |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | [Hackensack], N.J., : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 512/.4 |
| Altri autori (Persone) | OshiroKiyoichi <1943-> |
| Soggetto topico |
Artin rings
Commutative rings Rings (Algebra) |
| ISBN |
1-282-76146-3
9786612761461 981-4287-25-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; List of Symbols; 1. Preliminaries; 1.1 Background Sketch; 1.2 Semiperfect Rings and Perfect Rings; 1.3 Frobenius Algebras, and Nakayama Permutations and Nakayama Automorphisms of QF-Rings; 1.4 Notation in Matrix Representations of Rings; COMMENTS; 2. A Theorem of Fuller; 2.1 Improved Versions of Fuller's Theorem; 2.2 M-Simple-Injective and Quasi-Simple-Injective Modules; 2.3 Simple-Injectivity and the Condition r[e, g, f]; 2.4 ACC on Right Annihilator Ideals and the Condition r[e, g, f]; 2.5 Injectivity and Composition Length; COMMENTS; 3. Harada Rings
5.2 Self-Duality and Almost Self-Duality of Left Harada Rings5.3 Koike's Example of a QF-Ring without a Nakayama Automorphism; 5.4 Factor Rings of QF-Rings with a Nakayama Automorphism; COMMENTS; 6. Skew Matrix Rings; 6.1 Definition of a Skew Matrix Ring; 6.2 Nakayama Permutations vs Given Permutations; 6.3 QF-Rings with a Cyclic Nakayama Permutation; 6.4 Strongly QF-Rings; 6.5 Block Extensions of Skew Matrix Rings; COMMENTS; 7. The Structure of Nakayama Rings; 7.1 Kupisch Series and Kupisch Well-Indexed Set via Left HRings; 7.2 Nakayama QF-Rings; 7.3 A Classification of Nakayama Rings 7.4 An Example of a Nakayama QF-Ring of KNP(1 ! 1)-Type7.5 The Self-Duality of Nakayama Rings; COMMENTS; 8. Modules over Nakayama Rings; 8.1 Characterizations of Nakayama Rings by Lifting and Extending Properties; COMMENTS; 9. Nakayama Algebras; 9.1 Nakayama Algebras over Algebraically Closed Fields; 9.2 Nakayama Group Algebras; COMMENTS; 10. Local QF-rings; 10.1 Local QF-rings; 10.2 Examples of Local QF-Rings with Radical Cubed Zero; COMMENTS; Open Questions; Bibliography; Index |
| Record Nr. | UNINA-9910810530203321 |
|
Baba Yoshitomo
|
||
| [Hackensack], N.J., : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modules with cores and amalgamations of indecomposable modules / / Robert Gordon and Edward L. Green
| Modules with cores and amalgamations of indecomposable modules / / Robert Gordon and Edward L. Green |
| Autore | Gordon Robert <1935-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (156 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Modules (Algebra) Indecomposable modules |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0053-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Cores, basic modules, and basic submodules""; ""2. Basic maps""; ""3. Cocores and cobasic modules and maps""; ""4. Waists and pasting""; ""5. Amalgamation""; ""6. Modules of finite length""; ""7. Artin rings""; ""8. Construction of coreless indecomposable modules""; ""9. Radical squared zero""; ""10. Almost split sequences""; ""11. Pasting and cores""; ""12. Iterated amalgamations""; ""13. Classification of modules with cores""; ""14. Quivers""; ""15. Classification of rings such that indecomposable modules have cores"" |
| Record Nr. | UNINA-9910479915103321 |
|
Gordon Robert <1935->
|
||
| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modules with cores and amalgamations of indecomposable modules / / Robert Gordon and Edward L. Green
| Modules with cores and amalgamations of indecomposable modules / / Robert Gordon and Edward L. Green |
| Autore | Gordon Robert <1935-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (156 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Modules (Algebra) Indecomposable modules |
| ISBN | 1-4704-0053-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Cores, basic modules, and basic submodules""; ""2. Basic maps""; ""3. Cocores and cobasic modules and maps""; ""4. Waists and pasting""; ""5. Amalgamation""; ""6. Modules of finite length""; ""7. Artin rings""; ""8. Construction of coreless indecomposable modules""; ""9. Radical squared zero""; ""10. Almost split sequences""; ""11. Pasting and cores""; ""12. Iterated amalgamations""; ""13. Classification of modules with cores""; ""14. Quivers""; ""15. Classification of rings such that indecomposable modules have cores"" |
| Record Nr. | UNINA-9910788609503321 |
|
Gordon Robert <1935->
|
||
| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modules with cores and amalgamations of indecomposable modules / / Robert Gordon and Edward L. Green
| Modules with cores and amalgamations of indecomposable modules / / Robert Gordon and Edward L. Green |
| Autore | Gordon Robert <1935-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (156 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Modules (Algebra) Indecomposable modules |
| ISBN | 1-4704-0053-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Cores, basic modules, and basic submodules""; ""2. Basic maps""; ""3. Cocores and cobasic modules and maps""; ""4. Waists and pasting""; ""5. Amalgamation""; ""6. Modules of finite length""; ""7. Artin rings""; ""8. Construction of coreless indecomposable modules""; ""9. Radical squared zero""; ""10. Almost split sequences""; ""11. Pasting and cores""; ""12. Iterated amalgamations""; ""13. Classification of modules with cores""; ""14. Quivers""; ""15. Classification of rings such that indecomposable modules have cores"" |
| Record Nr. | UNINA-9910811601503321 |
|
Gordon Robert <1935->
|
||
| Providence : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø
| Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø |
| Autore | Happel Dieter <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Representations of rings (Algebra) Partially ordered sets Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0160-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Tilting in abelian categories""; ""1. Preliminaries""; ""2. t-structures and torsion pairs""; ""3. Tilting Torsion Classes""; ""4. Tilting Objects""; ""5. Examples""; ""Chapter II. Almost hereditary algebras""; ""1. Basic properties""; ""2. Quasitilted and almost hereditary algebras""; ""3. Ext-projectives and tilted algebras""; ""Chapter III. One point extensions of quasitilted algebras""; ""1. Constructions of quasitilted algebras""; ""2. One-point extensions of quasitilted algebras""; ""3. One-point extensions of tame concealed algebras""
""4. Canonical algebras""""5. Relationship between governing and other properties""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910479911003321 |
|
Happel Dieter <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø
| Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø |
| Autore | Happel Dieter <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Representations of rings (Algebra) Partially ordered sets Representations of algebras |
| ISBN | 1-4704-0160-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Tilting in abelian categories""; ""1. Preliminaries""; ""2. t-structures and torsion pairs""; ""3. Tilting Torsion Classes""; ""4. Tilting Objects""; ""5. Examples""; ""Chapter II. Almost hereditary algebras""; ""1. Basic properties""; ""2. Quasitilted and almost hereditary algebras""; ""3. Ext-projectives and tilted algebras""; ""Chapter III. One point extensions of quasitilted algebras""; ""1. Constructions of quasitilted algebras""; ""2. One-point extensions of quasitilted algebras""; ""3. One-point extensions of tame concealed algebras""
""4. Canonical algebras""""5. Relationship between governing and other properties""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788759403321 |
|
Happel Dieter <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø
| Tilting in Abelian categories and quasitilted algebras / / Dieter Happel, Idun Reiten, Sverre O. Smalø |
| Autore | Happel Dieter <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (103 p.) |
| Disciplina | 512/.4 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Artin rings
Representations of rings (Algebra) Partially ordered sets Representations of algebras |
| ISBN | 1-4704-0160-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Tilting in abelian categories""; ""1. Preliminaries""; ""2. t-structures and torsion pairs""; ""3. Tilting Torsion Classes""; ""4. Tilting Objects""; ""5. Examples""; ""Chapter II. Almost hereditary algebras""; ""1. Basic properties""; ""2. Quasitilted and almost hereditary algebras""; ""3. Ext-projectives and tilted algebras""; ""Chapter III. One point extensions of quasitilted algebras""; ""1. Constructions of quasitilted algebras""; ""2. One-point extensions of quasitilted algebras""; ""3. One-point extensions of tame concealed algebras""
""4. Canonical algebras""""5. Relationship between governing and other properties""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910829054003321 |
|
Happel Dieter <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
