Left duo seminear-rings Page 121 Scientia Magna Vol. 8 (2012), No. 3, 115-120 Left Duo
Seminear-rings R. Balakrishnan† and R. Perumal‡ † Department of Mathematics, VO …

A ring R is called symmetric, if abc= 0 implies acb= 0 for a, b, c∈ R. An ideal I of a ring R is
called symmetric (resp. radically-symmetric) if R/I (resp. R/(기호)) is a symmetric ring. We first …

In this paper, Matlis injective modules are introduced and studied. It is shown that every R-
module has a (special) Matlis injective preenvelope over any ring R and every right R …

Let R be an associative unital ring, and let f∈ R [x]. We say that f is a left annihilating content
(AC) polynomial if f= af 1 for some a∈ R and f 1∈ R [x] with l R [x](f 1)= 0. The ring R is …

A ring R is called a left Ikeda-Nakayama ring (left IN-ring) if the right annihilator of the
intersection of any two left ideals is the sum of the two right annihilators. Also a ring R is …

Throughout this paper all rings considered will be commutative rings with identity. We shall
consider the consequences for a ring of the flatness of certain classes of its modules. Since …

Abstract A right R-module M is called CS if every submodule of M is essential in a direct
summand of M. In this dissertation, we study certain classes of CS and Σ-CS rings and …

It is proved that A is a right distributive ring if and only if all quasiinjective right A-modules are
Bezout left modules over their endomorphism rings if and only if for any quasiinjective right A …

In this paper we will define an ideal (NE (R)) which provides a link between the set of
nilpotents and the set of idempotents of a ring R. In the first section various properties of (NE …

ON SELF-INJECTIVE PERFECT RINGS Page 1 Canad. Math. Bull. Vol. 39 (1), 1996 pp. 55-58
ON SELF-INJECTIVE PERFECT RINGS DOLORS HERBERA AND AHMAD SHAMSUDDIN …