ON REDUCED MODULES

Yıl 2009, Cilt: 58 Sayı: 1, 9 - 16, 01.02.2009

N. Agayev S. Halıcıoğlu A. Harmancı

https://doi.org/10.1501/Commua1_0000000642

Cited By: 1

Öz

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.

Anahtar Kelimeler

reduced modules

Kaynakça

• N. Agayev and A. Harmanci, On semicommutative modules and rings, Kyungpook Math. J., 47(2007)(1), 21-30.
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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 : [e-mail], [e-mail]
• [e-mail]