ON REDUCED MODULES

Authors : N AGAYEV, S HALICIOĞLU, A HARMANCI

Pages : 9-16

Doi:10.1501/Commua1_0000000642

View : 15 | Download : 9

Publication Date : 2009-02-01

Article Type : Research Paper

Abstract :Abstract. Let α be an endomorphism of an arbitrary ring R with identity. In this note, we concern the relations between polynomial and power series extensions of a reduced module. Among others we prove that a ring R is α- reduced if and only if every áat right R-module is -reduced, and for a module M, M[x] is α-reduced if and only if M[x; x1 ] is α-reduced.
Keywords : reduced modules