A Note on Primary and Weakly Primary Submodules Page 1 EUROPEAN JOURNAL OF PURE
AND APPLIED MATHEMATICS Vol. 9, No. 1, 2016, 48-56 ISSN 1307-5543 –www.ejpam.com A …

Let M be a right R− module. A right R− module N is called small pseudo principally M−
injective (briefly, small PP M−− injective) if, every R− monomorphism from a small and …

Let M and N be modules over a ring R. The purpose of this paper is to study modules M, N
for which the bi-module [M, N] is regular or pi. It is proved that the bi-module [M, N] is regular …

1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 22, No. 3, pp. 545–565,
June 2018 DOI: 10.11650/tjm/171102 Primitive Submodules, Co-semisimple and Regular …

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 …

In this work we introduce the concept of rationally injective module, which is a proper
generalization of (essentially)-injective modules. Several properties and characterizations …

Quasi-small P-injective Modules | Progress in Applied Science and Technology Main
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A module $ M $ is called ECS if every ec-closed submodule of $ M $ is a direct summand. It
was shown that the ECS property lies strictly between CS and P-extending properties. We …