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Trivial Extension of Armendariz Rings and Related Concepts | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 10, Issue 3, 2018, Pages 73-79 PDF (0 K) | ||
| Authors | ||
| Maiada N. Mohmmedali; Areej M. Abduldaim; Anwar Khaleel Faraj | ||
| Abstract | ||
| This paper investigate the possibility of inheriting the properties of the ring R to the trivial extension ring R(R,R) and present the relationship between the trivial extension R(R,R) and many types of rings. The concepts of 2-primal, reversible, central reversible, semicommutative, nil–semicommutative, π-Armendariz and central π-Armendariz rings are studied with trivial extension R(R,R) and some characterizations of -Armendariz and central π-Armendariz rings are given. | ||
| Keywords | ||
| Trivial extension; Armendariz; nil; central | ||
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