Description 
1 online resource (364 pages) 
Contents 
Cover; Half Title; Title Page; Copyright Page; Table of Contents; Contents of Volume 2; Preface; 1: Rings Related to Finite Posets ; 1.1 Incidence Rings; 1.2 Incidence Rings I(S, D); 1.3 Right Hereditary Rings A(S, O); 1.4: Incidence Rings Modulo the Radical ; 1.5 Serial and Semidistributive Rings I(S, ĘŚ, M); 1.6 Notes and References 

2: Distributive and Semidistributive Rings 2.1 Distributive Modules and Rings; 2.2 Semiprime Semidistributive Rings; 2.3 Semiperfect Semidistributive Rings; 2.4 Right Hereditary SPSDRings; 2.5 Semihereditary SPSDRings; 2.6 Notes and References; 3: The Group of Extensions ; 3.1 Module Constructions Pushout and Pullback; 3.2 The Snake Lemma 

3.3 Extensions of Modules3.4 Baer Sum of Extensions; 3.5 Properties of Ext1; 3.6 Ext1 and Extensions; 3.7 Additive and Abelian Categories; 3.8 Notes and References; 4: Modules Over Semiperfect Rings ; 4.1 Finitely Generated Modules over Semiperfect Rings; 4.2 Stable Equivalence; 4.3 AuslanderBridger Duality; 4.4 Almost Split Sequences; 4.5 Cogenerators and Some Identities for Finitely Presented Modules; 4.6 Pure Submodules and Pure Exact Sequences 

4.7 Almost Split Sequences over Semiperfect Rings4.8 Linkage and Duality of Modules over Semiperfect Rings; 4.9 Notes and References; 5: Representations of Primitive Posets ; 5.1 Representations of Finite Posets; 5.2 Main Canonical Forms of Matrix Problems; 5.3 Trichotomy Lemma; 5.4 The Kleiner Lemma; 5.5 The Main Construction; 5.6 Primitive Posets of Infinite Representation Type; 5.7 Primitive Posets of Finite Representation Type; 5.8 Notes and References 

6: Representations of Quivers, Species and Finite Dimensional Algebras 6.1 Finite Quivers and Their Representations; 6.2 Species, Valued Quivers and Valued Graphs; 6.3 Finite Dimensional Algebras and Their Representations; 6.4 Notes and References 
Summary 
"The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically noncommutative algebra, is poised for major advances in the twentyfirst century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Noncommutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules."Provided by publisher 
Notes 
7: Artinian Rings of Finite Representation Type 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Modules (Algebra)


Rings (Algebra)


MATHEMATICS  Applied.


SCIENCE  Mathematical Physics.


Modules (Algebra)


Rings (Algebra)

Form 
Electronic book

Author 
Gubareni, Nadiya M

ISBN 
9781351869874 

1351869876 

9781315233048 

1315233045 

9781351869867 

1351869868 

9781351869850 

135186985X 
