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arXiv · 2601.21556

On J-torsionless modules

Dimpy Mala Dutta·A. M. Buhphang·M. B. Rege
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Abstract

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.

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Dimpy Mala Dutta, A. M. Buhphang, M. B. Rege. 2026-01-29. On J-torsionless modules. https://arxiv.org/abs/2601.21556

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