ON REDUCED MODULES


Agayev N., Halicioglu S., Harmanci A.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.58, ss.9-16, 2009 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 58 Konu: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1501/commua1_0000000642
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.9-16

Özet

Let alpha 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 alpha-reduced if and only if every flat right R-module is alpha-reduced, and for a module M, M[x] is alpha-reduced if and only if M[x, x(-1)] is alpha-reduced.