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 …

The purpose of this paper is to introduce dual notions of two known concepts which are semi-
essential submodules and semi-uniform modules. We call these concepts; cosemi-essential …

Let R be a ring and I an ideal of R. We define and study I-pure submodules, I-FP-injective
modules, I-flat modules, I-coherent rings and I-semihereditary rings. Using the concepts of I …

The main purpose of this work is to introduce and study the concept of pseudo-rc-injective
module which is a proper generalization of rc-injective and pseudo-injective modules …

Recall that a ring R is said to be left coherent [2, 7] if every finitely generated left ideal of R is
finitely presented, a ring R is said to be left semihereditary if every finitely generated left …

Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …

We introduce the notion of t-polyform modules. The class of t-polyform modules contains the
class of polyform modules and contains the class of t-essential quasi-Dedekind. Many …