TY - JOUR ID - TI - Trivial Extension of Armendariz Rings and Related Concepts AU - Maiada N. Mohmmedali AU - Areej M. Abduldaim AU - Anwar Khaleel Faraj PY - 2018 VL - 10 IS - 3 SP - Math 73 EP - 79 JO - Journal of Al-Qadisiyah for Computer Science and Mathematics مجلة القادسية لعلوم الحاسوب والرياضيات SN - 20740204 25213504 AB - This paper investigate the possibility of inheriting the properties of the ring R to the trivial extension ringR(R,R) and present the relationship between the trivial extension R(R,R) and many types of rings. The conceptsof 2-primal, reversible, central reversible, semicommutative, nil–semicommutative, π-Armendariz and centralπ-Armendariz rings are studied with trivial extension R(R,R) and some characterizations of -Armendariz andcentral π-Armendariz rings are given.

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