ON REDUCED MODULES

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Agayev N., HALICIOĞLU S., Harmanci A.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.58, sa.1, ss.9-16, 2009 (ESCI, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 58 Sayı: 1
• Basım Tarihi: 2009
• Doi Numarası: 10.1501/commua1_0000000642
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.9-16
• Anahtar Kelimeler: reduced modules
• Ankara Üniversitesi Adresli: Evet

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.