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Nejadzadeh, Afsaneh; Amini, Afshin; Amini, Babak; Sharif, Habib
Vietnam journal of mathematics, 03/2020, Volume: 48, Issue: 1Journal Article
In this paper we introduce and study right Z -Armendariz rings. A ring R is said to be right Z -Armendariz if f ( x ) g ( x ) = 0 implies that ab is a right singular element of R , where f ( x ) and g ( x ) belong to R x and a , b are arbitrary coefficients of f ( x ), g ( x ). Then we construct some examples of right Z -Armendariz rings by a given one. Finally, we extend this notion for modules.
