Special properties of the ring Sn(R)

Abstract

Let [Formula: see text] be a ring with compatible endomorphisms [Formula: see text]. We investigate the quasi-Armendariz, Armendariz, McCoy, semicommutative properties and Property (A) of the ring [Formula: see text]. Our results yield more examples of quasi-Armendariz rings, Armendariz rings, McCoy rings, semicommutative rings and rings with Property (A).