This book is an account of a certain portion of noncommutative ring theory which originated
in the work of RE Johnson [113, 115], who introduced nonsingular rings, in 1951, and …

The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …

От издательства: В монографии даются и исследуются аксиоматические определения
понятий чистоты, кручения и полноты (делимости), играющих важную роль в теории …

This paper is concerned with rings for which all modules in one of the following classes are
injective: simple modules, quasi-injective modules, or proper cyclic modules. Such rings are …

M commutes. The first section of this paper contains results which are needed to prove a
decomposition theorem for quasi-projective modules over left perfect rings (Theorem 1.10) …

Let R be a ring with an identity. A ring R will be called a left (right) q*-ring if every R-
homomorphic image of R as a left (right) R-module is quasi-projective, that is, if every cyclic …

First we take a right artinian ring R. Then every injective. R-module E is a direct sum of
indecomposable modules. Further for every simple submodule S of Ey there exists a direct …

Injectives containihg no proper quasi-injective submodules Page 1 COMMUNICATIONS IN
ALGEBRA, 4(8), 775-785 (1976) INJECTNES CONllAINING NO PROPER QUASI-INJECTIVE …

Following Handelman [8] we call a ring R is a right strongly semiprime ring provided if/is a
two-sided ideal of R and is essential as a right ideal, then it contains a finite subset whose …