Injective Modules and Injective Quotient Rings
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portes grátis
Injective Modules and Injective Quotient Rings
Faith, Carl
Taylor & Francis Ltd
12/2020
120
Dura
Inglês
9781138401877
15 a 20 dias
380
Descrição não disponível.
PREFACE -- PART I INJECTIVE MODULES OVER LEVITZKI RINGS -- Abstract -- 1. Introduction -- 2. Annihilators and the Galois Connection -- 3. Levitzki Modules -- 4. Finite Annihilators -- 5. Sigma Quasi-injective Modules -- Appendix -- 6. Lemmas from Fitting-Krull-Schmidt -- 7. The Teply-Miller Theorem -- 8. A-Injective Modules -- 9. Kasch Rings -- 10. A-Rings -- Appendix -- 11. Injective Modules Over Nonnoetherian Commutative Rings -- 11.1 Introduction -- 11.2 Preliminaries -- 11.3 Proof of Beck's Theorem -- 11.4 Commutative Sigma and Delta Rings -- 11.5 Artinian (Noetherian) Injectives Are Sigma (Delta) Injective -- 11.6 A-Polynomial Rings Are Polynomials Over A-Rings -- Problems -- Notes -- Acknowledgments -- References -- PART II INJECTIVE QUOTIENT RINGS OF COMMUTATIVE RINGS -- Abstract -- 1. Introduction -- 2. Survey of Relevant Background -- 3. Lemmas -- 4. Proof of Theorem B -- 5. Quotient-injective Pre-FPF Rings Are FPF -- 6. CFPF = FSI -- 7. FPF Rings with Semilocal Quotient Rings -- 8. FPF Rings with PF Quotient Rings -- 9. Note on the Genus of a Module and Generic Families of Rings -- 10. FP2F and CFP2F Rings and the "Big" Genus -- Problems -- References -- Abbreviations - INDEX.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Injective Hull;injective quotient rings;Commutative Ring;noncommutative ring theory;Direct Summand;Levitzki Rings;Semiprimary Ring;injective module E;Morita Duality;Indecomposable Direct Summand;Simple Left Ideal;Quasi-injective Module;Finite Goldie Dimension;Self-injective Ring;Endomorphism Ring;Semiperfect Ring;PF Ring;Injective Module;Dense Submodule;Artinian Ring;Essential Left Ideal;Indecomposable Injective;Noetherian Ring;Indecomposable Modules;Kasch Ring;Direct Sum;Semihereditary Ring
PREFACE -- PART I INJECTIVE MODULES OVER LEVITZKI RINGS -- Abstract -- 1. Introduction -- 2. Annihilators and the Galois Connection -- 3. Levitzki Modules -- 4. Finite Annihilators -- 5. Sigma Quasi-injective Modules -- Appendix -- 6. Lemmas from Fitting-Krull-Schmidt -- 7. The Teply-Miller Theorem -- 8. A-Injective Modules -- 9. Kasch Rings -- 10. A-Rings -- Appendix -- 11. Injective Modules Over Nonnoetherian Commutative Rings -- 11.1 Introduction -- 11.2 Preliminaries -- 11.3 Proof of Beck's Theorem -- 11.4 Commutative Sigma and Delta Rings -- 11.5 Artinian (Noetherian) Injectives Are Sigma (Delta) Injective -- 11.6 A-Polynomial Rings Are Polynomials Over A-Rings -- Problems -- Notes -- Acknowledgments -- References -- PART II INJECTIVE QUOTIENT RINGS OF COMMUTATIVE RINGS -- Abstract -- 1. Introduction -- 2. Survey of Relevant Background -- 3. Lemmas -- 4. Proof of Theorem B -- 5. Quotient-injective Pre-FPF Rings Are FPF -- 6. CFPF = FSI -- 7. FPF Rings with Semilocal Quotient Rings -- 8. FPF Rings with PF Quotient Rings -- 9. Note on the Genus of a Module and Generic Families of Rings -- 10. FP2F and CFP2F Rings and the "Big" Genus -- Problems -- References -- Abbreviations - INDEX.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Injective Hull;injective quotient rings;Commutative Ring;noncommutative ring theory;Direct Summand;Levitzki Rings;Semiprimary Ring;injective module E;Morita Duality;Indecomposable Direct Summand;Simple Left Ideal;Quasi-injective Module;Finite Goldie Dimension;Self-injective Ring;Endomorphism Ring;Semiperfect Ring;PF Ring;Injective Module;Dense Submodule;Artinian Ring;Essential Left Ideal;Indecomposable Injective;Noetherian Ring;Indecomposable Modules;Kasch Ring;Direct Sum;Semihereditary Ring
