ON REDUCED MODULES
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,
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- Current address :, N. Agayev: Department of Pedagogy, Qafqaz University, Baku, Azerbaijan
- S. Halıcıo¼glu: Department of Mathematics, Ankara University, Ankara, Turkey
- A.Harmanci: Department of Mathematics,Hacettepe University, Ankara, Turkey E-mail address : nazimagayev@qafqaz.edu.az, halici@science.ankara.edu.tr
- harmanci@hacettepe.edu.tr
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi