A note on rings with McCoy-like properties |
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| Authors: | M Habibi A Moussavi J Šter |
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| Institution: | 1. Department of Mathematics, Tafresh University, Tafresh, Iranhabibi.mohammad2@gmail.com mhabibi@tafreshu.ac.ir;3. Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran;4. Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia |
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| Abstract: | According to Nielsen 10 Nielsen, P. P. (2006). Semi-commutativity and the McCoy condition. J. Algebra 298:134–141.Crossref], Web of Science ®] , Google Scholar]], a ring R is called right McCoy if for every nonzero f(x),g(x) in the polynomial ring Rx], f(x)g(x) = 0 implies that there exists a nonzero s in R such that f(x)s = 0. In this work, we state two notes on rings with McCoy-like conditions. |
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| Keywords: | Classical quotient rings McCoy rings Ore rings |
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