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.
Buhphang, A., & Dutta, D. (2023). On weakly nil-semicommutative rings. Journal of Algebra and Related Topics, 11(2), 73-83. doi: 10.22124/jart.2023.23498.1477
MLA
A. M. Buhphang; D. M. Dutta. "On weakly nil-semicommutative rings". Journal of Algebra and Related Topics, 11, 2, 2023, 73-83. doi: 10.22124/jart.2023.23498.1477
HARVARD
Buhphang, A., Dutta, D. (2023). 'On weakly nil-semicommutative rings', Journal of Algebra and Related Topics, 11(2), pp. 73-83. doi: 10.22124/jart.2023.23498.1477
VANCOUVER
Buhphang, A., Dutta, D. On weakly nil-semicommutative rings. Journal of Algebra and Related Topics, 2023; 11(2): 73-83. doi: 10.22124/jart.2023.23498.1477
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