This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

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 …

Modules in which every proper submodule (resp. proper nonzero submodule) is prime
(called fully prime (almost fully prime)) and with some other related notions are fully …

Let M and N be two modules. M is called automorphism N-invariant if for any essential
submodule A of N, any essential monomorphism f: A→ M can be extended to some g∈ Hom …

Characterization of rings direct-projective modules direct-injective modules using and Page 1
Journal of Pure and Applied Algebra 87 (1993) 99-104 North-Holland 99 Characterization of …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous to δsupplemented modules and principally⊕ …

The idea that the socle plays a dual role to that of the Jacobson radical is not new, although
rarely used or mentioned. There are, of course many radicals besides the Jacobson radical …

A module M has the property (V) il for every K< M, KIM and me MK, any submodule-L
maximal, with respect to the property that it contains K but does not contain the element m, is …

In this paper we study non-commutative pp rings and Baer rings in relation to their quotient
rings. First, we investigate right pp rings and their classical quotient rings. It has been shown …