Rings, modules, and preradicals. (English) Zbl 0483.16026

Bican, L.; Kepka, T.; Nemec, P.

Lecture Notes in Pure and Applied Mathematics, 75. New York - Basel: Marcel Dekker, Inc. IX, 241 p. SFr. 105.00 (1982).

MSC:

16S90	Torsion theories; radicals on module categories (associative algebraic aspects)
16Nxx	Radicals and radical properties of associative rings
16-02	Research exposition (monographs, survey articles) pertaining to associative rings and algebras
16D40	Free, projective, and flat modules and ideals in associative algebras
16L30	Noncommutative local and semilocal rings, perfect rings
16D50	Injective modules, self-injective associative rings
16D80	Other classes of modules and ideals in associative algebras
16Dxx	Modules, bimodules and ideals in associative algebras
16P50	Localization and associative Noetherian rings
16E10	Homological dimension in associative algebras

Keywords:

preradicals in module categories; radical filters; hereditary torsion theories; idempotent radicals; torsion n-theories; semiartinian rings; injectivity; projectivity; injective envelope; Baer criterion; ternary decomposition; fully left bounded rings; semiperfect rings; projective cover; splitting; primary decomposition; finitely generated modules; homological dimensions