For a monoid M, we introduce M-quasi-Armendariz rings which are a generalization of quasi-
Armendariz rings, and investigate their properties. The M-quasi-Armendariz condition is a …

This paper is an investigation of right modules over a ${B^\ast} $-algebra B which posses a
B-valued “inner product” respecting the module action. Elementary properties of these …

We introduce the notions of “t-extending modules,” and “t-Baer modules,” which are
generalizations of extending modules. The second notion is also a generalization of …

A ring R is called Armendariz if whenever the product of any two polynomials in R [x] over R
is zero, then so is the product of any pair of coefficients from the two polynomials. Such rings …

In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …

This paper develops a structure theory for any directly finite, right ℵ 0-continuous, regular
ring R, generalizing the corresponding theory for a right and left ℵ 0-continuous regular ring …

In this paper we introduce-non-cosingular modules, dual Baer modules and-modules. We
prove that a module M is lifting and-non-cosingular if and only if it is a dual Baer and …

Let R be a ring with a monomorphism α and an α-derivation δ. We introduce (α, δ)-weakly
rigid rings which are a generalisation of α-rigid rings and investigate their properties. Every …

On strongly right bounded finite rings II Page 1 BULL. AUSTRAL. MATH. SOC. 16P10, 16U80
VOL. 46 (1992) [381-384] ON STRONGLY RIGHT BOUNDED FINITE RINGS II WEIMIN XUE …

There is an increasing body of evidence that prime near-rings with derivations have ring like
behavior, indeed, there are several results (see for example [1],[2],[3],[4],[5] and [8]) asserting …