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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2009 / Cilt: 58 - Sayı: 1

ON REDUCED MODULES

N. AGAYEV, S. HALICIOĞLU, A. HARMANCI

Pages
9–16
DOI
—

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.