ABSTRACT

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.

chapter 1|25 pages

Rings Related to Finite Posets

chapter 2|35 pages

Distributive and Semidistributive Rings

chapter 3|37 pages

The Group of Extensions

chapter 4|50 pages

Modules Over Semiperfect Rings

chapter 5|43 pages

Representations of Primitive Posets