Algebras, Rings and Modules

Non-commutative Algebras and Rings

Michiel Hazewinkel, Nadiya M. Gubareni (Autoren)

Buch | Softcover

388 Seiten

2021
CRC Press (Verlag)
978-0-367-78324-2 (ISBN)

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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 study, stressing the non-commutative nature of the first two volumes of Algebras, Rings and Modules by M. Hazewinkel, N. Gubareni, and V. V. Kirichenko. It is largely independent of the other volumes. The relevant constructions and results from earlier volumes have been presented in this volume.

Michiel Hazewinkel, Nadiya M. Gubareni

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.

Erscheinungsdatum	06.04.2021
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	553 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Naturwissenschaften ► Biologie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	0-367-78324-X / 036778324X
ISBN-13	978-0-367-78324-2 / 9780367783242
Zustand	Neuware