ON REDUCED MODULES

By N. Agayev, S. Halicioglu, A. Harmanci. 2009

59 citations recorded by the source corpus.

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 aat 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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1391da81090444159182c905a8db1e4efe921328