- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 58 Issue: 1
- ON REDUCED MODULES
ON REDUCED MODULES
Authors : N. Agayev, S. Halicioğlu, A. Harmanci
Pages : 9-16
Doi:10.1501/Commua1_0000000642
View : 8 | Download : 4
Publication Date : 2009-02-01
Article Type : Research
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