• Ring endomorphisms satisfying the central reversible property

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0012

• # Keywords

Reversible ring; central reversible ring; $\alpha$-skew (central) reversible ring; matrix ring; polynomial ring; Dorroh extension; Jordan extension

• # Abstract

A ring $R$ is called reversible if for $a, b \in R$, $ab = 0$ implies $ba = 0$. These rings play an important role in the study of noncommutative ring theory. Kafkas et al.(Algebra Discrete Math. 12 (2011) 72–84) generalized the notion of reversible rings to central reversible rings. In this paper, we extend the notion of central reversibility of rings to ring endomorphisms. We investigate various properties of these rings and answer relevant questions that arise naturally in the process of development of these rings, and as a consequence many new results related to central reversible rings are also obtained as corollaries to our results.

• # Author Affiliations

1. Department of Mathematics, Assam University, Silchar 788 011, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019