Semidistributive Modules and Rings

Erscheinungsjahr 1998
ISBN: 978-0-7923-5209-9
Verlag: Springer Nature B.V.

Buch, Englisch, Band 449, 357 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 723 g

Reihe: Mathematics and Its Applications (closed)

This is the first monograph on the theory of semidistributive modules and rings. It investigates such topics as the relationship between semidistributive modules and flat, projective, injective, multiplication, as well as Bezout modules. The volume concludes with an extensive bibliography.
Audience: This work can be recommended as an introduction to structural and homological ring theory, and will prove useful for postgraduates and researchers specialising in algebra.

Zielgruppe

Research

Autoren/Hrsg.

Tuganbaev, A.A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

Introduction. Symbols. 1. Radicals, Local and Semisimple Modules. 2. Projective and Injective Modules. 3. Bezout and Regular Modules. 4. Continuous and Finite-Dimensional Modules. 5. Rings of Quotients. 6. Flat Modules and Semiperfect Rings. 7. Semihereditary and Invariant Rings. 8. Endomorphism Rings. 9. Distributive Rings with Maximum Conditions. 10. Self-Injective and Skew-Injective Rings. 11. Semidistributive and Serial Rings. 12. Monoid Rings and Related Topics. Bibliography. Index.

Über Autor(innen)

Askar Tuganbaev received his Ph.D. at the Moscow State University in 1978 and has been a professor at Moscow Power Engineering Institute (Technological University) since 1978. He is the author of three other monographs on ring theory and has written numerous articles on ring theory.