Algebras, Rings and Modules, Volume 2 Non-commutative Algebras and Rings
The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first 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: Non-commutative 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.
Rings related to finite posets. Distributive and semidistributive rings. The group of extensions. Modules over semiperfect rings. Representations of primitive posets. Representations of quivers, species and finite dimensional algebras. Artinian rings of finite representation type. O-species and SPSD-rings of bounded representation type.
Michiel Hazewinkel, Nadiya M. Gubareni
Date de parution : 03-2021
15.6x23.4 cm
Date de parution : 12-2016
15.6x23.4 cm
Mots-clés :
Finite Representation Type; Semiperfect Ring; non-Noetherian rings; Artinian Ring; hereditary rings; Discrete Valuation Ring; semi-hereditary rings; Indecomposable Representations; distributive rings; Division Ring; semi-distributive rings; Finite Poset; finite dimensional algebras; Finite Dimensional Algebra; Artinian rings; Infinite Representation Type; Hasse Diagram; Commutative Diagram; Split Sequence; Noetherian Ring; Minimal Projective Resolution; Incidence Algebras; Dynkin Diagrams; Acyclic Quiver; Finite Quiver; Split Monomorphism; Indecomposable Modules; Path Algebra KQ; Nonsingular Ring; Incidence Rings; Krull Schmidt Categories; Short Exact Sequence