On weakly nil-semicommutative rings

Document Type : Research Paper

Authors

1 Department of Mathematics, North-Eastern Hill University, Shillong, India

2 Department of Mathematics, North-Eastern Hill University, Shillong, India.

Abstract

‎We introduce the concept of weakly nil‎ - ‎semicommutative or WNSC rings and provide a condition that establishes the equivalence of WNSC rings to three generalised classes of semicommutative rings‎. ‎We prove the equivalence between WNSC Laurent polynomial rings and WNSC polynomial rings‎. ‎We supply examples of these classes of rings by considering Nagata and Dorroh extensions‎. ‎We also give a characterization for a ring of Morita context with zero pairings to be WNSC‎.

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References

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Journal of Algebra and Related Topics
Volume 11, Issue 2
December 2023
Pages 73-83

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