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Algebras, Rings and Modules: Non-commutative Algebras and Rings book cover

1st Edition

Algebras, Rings and Modules Non-commutative Algebras and Rings

By Michiel Hazewinkel, Nadiya M. Gubareni Copyright 2016
388 Pages
by CRC Press

388 Pages 10 B/W Illustrations
by CRC Press

388 Pages
by CRC Press
Also available as eBook on:
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 volume is a continuation and an in-depth... Read more

Preface. Preliminaries. Basic general constructions of rings and modules. Homological dimensions of rings and modules. Goldie and Krull dimensions of rings and modules. Rings with Finiteness conditions. Krull-Remak-Schmidt-Azumaya theorem. Hereditary and semihereditary rings. Serial nonsingular rings. Jacobson's conjecture. 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. Semiperfect rings of bounded representation type.

Biography

Michiel Hazewinkel, Nadiya M. Gubareni

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