TY - BOOK AU - Hazewinkel,Michiel AU - Gubareni,Nadezhda Mikhaĭlovna TI - Algebras, rings, and modules: non-commutative algebras and rings SN - 9780367240066 U1 - 512.46 23 PY - 2019/// CY - Boca PB - CRC Press KW - Noncommutative algebras KW - Rings (Algebra) N1 - "A Science Publishers book."; Includes bibliographical references and index; Preface Contents Chapter 1: Preliminaries Chapter 2: Basic General Constructions of Groups and Rings Chapter 3: Valuation Rings Chapter 4: Homological Dimensions of Rings and Modules Chapter 5: Goldie and Krull Dimensions of Rings and Modules Chapter 6: Rings with Finiteness Conditions Chapter 7: Modules with Change Property and Change Rings Chapter 8: Hereditary and Semihereditary Rings. Piecewise Domains Chapter 9: Serial Nonsingular Rings. Jacobson’s Conjecture References Back Cover N2 - 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 centu ER -