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On weakly nil-semicommutative rings | ||
Journal of Algebra and Related Topics | ||
دوره 11، شماره 2، اسفند 2023، صفحه 73-83 اصل مقاله (202.03 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2023.23498.1477 | ||
نویسندگان | ||
A. M. Buhphang* 1؛ D. M. Dutta2 | ||
1Department of Mathematics, North-Eastern Hill University, Shillong, India | ||
2Department of Mathematics, North-Eastern Hill University, Shillong, India. | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Semicommutative rings؛ Nagata؛ Dorroh؛ Morita context | ||
آمار تعداد مشاهده مقاله: 210 تعداد دریافت فایل اصل مقاله: 388 |