arXiv subjects

A. M. Buhphang

Publications and source records attributed to A. M. Buhphang.

2 recordsLinked to original sources

arXiv2026

On J-torsionless modules

In this paper, we introduce the concept of JReject of a class of modules as a generalization of the notion of reject of a class of modules. We also introduce the notion of J-torsionless modules and give a characterization of regularity on the basis of the J-torsionless condition. A necessary and sufficient condition on $R$ is also given for every cyclic module over $R$ to be J-torsionless. Finally, we give a description of self-injective rings over which every module is J-torsionless.

math.RA↗

arXiv2022

Pointwise Semicommutative Rings

We call a ring R pointwise semicommutative if for any element a in R either l(a) or r(a) is an ideal of R. A class of pointwise semicommutative rings is a strict generalization of semicommutative rings. Since reduced rings are pointwise semicommutative, this paper studies sufficient conditions for pointwise semicommutative rings to be reduced. For a pointwise semicommutative ring R, R is strongly regular if and only if R left SF ; R is exchange if and only if R is clean; if R is semiperiodic then R/J(R) is commutative.

math.RA↗