We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …

In this work, we use the concept of G-weak graded rings and G-weak graded modules,
which are based on grading by a set G of left coset representatives for the left action of a …

Let R be an associative ring with unity, X be a finite group, H be a subgroup of X, and G be a
set of left coset representatives for the left action of H on X. In this article, we introduce two …

In this article, we generalize the concept of group-graded modules by introducing the
concept of G-weak graded R-modules, which are R-modules graded by a set G of left coset …

We show that if a nonassociative unital ring is graded by a hypercentral group, then the ring
is simple if and only if it is graded simple and the center of the ring is a field. Thereby, we …

SIMPLICITY OF LEAVITT PATH ALGEBRAS VIA GRADED RING THEORY Page 1 Bull. Aust.
Math. Soc. 108 (2023), 428–437 doi:10.1017/S0004972723000114 SIMPLICITY OF LEAVITT …

The aim of the paper is to introduce a new class of rings—the inner generalized Weyl
algebras (IGWA)—and to give simplicity criteria for them. For each IGWA A a derivative …

On weak graded rings Page 1 EUROPEAN JOURNAL OF PURE AND APPLIED
MATHEMATICS Vol. 10, No. 5, 2017, 967-980 ISSN 1307-5543 – www.ejpam.com …

In this article, we consider a twisted partial action α of a group G on an associative ring R
and its associated partial crossed product R∗ w α G. We provide necessary and sufficient …

The G-weak graded rings are rings graded by a set G of left coset representatives for the left
action of a subgroup H of a finite group X. The main aim of this article is to study the concept …