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• W1989544705 endingPage "1103" @default.
• W1989544705 startingPage "1083" @default.
• W1989544705 abstract "The concepts of reversible, right duo, and Armendariz rings are known to play important roles in ring theory and they are independent of one another. In this note we focus on a concept that can unify them, calling it a right Armendarizlike ring in the process. We first find a simple way to construct a right Armendarizlike ring but not Armendariz (reversible, or right duo). We show the difference between right Armendarizlike rings and strongly right McCoy rings by examining the structure of right annihilators. For a regular ring R, it is proved that R is right Armendarizlike if and only if R is strongly right McCoy if and only if R is Abelian (entailing that right Armendarizlike, Armendariz, reversible, right duo, and IFP properties are equivalent for regular rings). It is shown that a ring R is right Armendarizlike, if and only if so is the polynomial ring over R, if and only if so is the classical right quotient ring (if any). In the process necessary (counter)examples are found or constructed." @default.
• W1989544705 created "2016-06-24" @default.
• W1989544705 creator A5017538180 @default.
• W1989544705 creator A5031029828 @default.
• W1989544705 date "2013-09-01" @default.
• W1989544705 modified "2023-09-23" @default.
• W1989544705 title "ON A RING PROPERTY UNIFYING REVERSIBLE AND RIGHT DUO RINGS" @default.
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• W1989544705 doi "https://doi.org/10.4134/jkms.2013.50.5.1083" @default.
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