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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 | ||
مراجع | ||
1. H. Chen, Strongly -regular morita contexts, Bull. Korean Math. Soc. (1) 40 (2003), 91-99. 2. W. Chen, On nil-semicommutative rings, Thai J. Math. (1) 9 (2011), 39-47. 3. P. M. Cohn, Reversible rings, Bull. Lond. Math. Soc. 31 (1999), 641-648. 4. J. L. Dorroh, Concerning adjunctions to algebras, Bull. Amer. Math. Soc, (2) 38 (1932), 85-88. 5. A. Harmanci and H. Kose, On a class of semicommutative rings, New Zealand J. Math. 47 (2017), 69-85 6. Y. Hirano and H. Tominaga, Regular rings, V-rings and their generalizations, Hiroshima Math. J. 9 (1979), 137-149. 7. S. Karimzadeh and S. Hadjirezaei, Generalization of n-ideals, J. Algebra Relat. Topics, (1) 10 (2022), 11-33. 8. C. Huh, Y. Lee and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra, (2) 30 (2007), 751-761. 9. S. U. Hwang, Y. C. Jeon and Y. Lee, Structure and topological conditions of NI-rings, J. Algebra, 306 (2006), 186-199. 10. L. Liang, L. Wang and Z. Liu, On a generalization of semicommutative rings, Taiwanese J. Math. (5) 11 (2007), 1359-1368. 11. R. Mohammadi, A. Moussavi and M. Zahiri, On nil-semicommutative rings, Int. Electron. J. Algebra, 11 (2012), 20-37. 12. M. Nagata, Local Rings, Interscience, New York, 1962. 13. M. A. Ozarslan, Lifting properties of formal triangular matrix rings, Revista de la Real Academia de Ciencias Exactas, Fsicas y Naturales. Serie A. Matematicas, (3) 104 (2021), 115:104. 14. G. Shin, Prime ideals and sheaf representation of a pseudo symmetric ring, Transactions of the American Mathematical Society, 184 (1973), 43-60. | ||
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