Symmetric modules over their endomorphism rings
ALGEBRA & DISCRETE MATHEMATICS, cilt.19, sa.2, ss.283-294, 2015 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 2
- Basım Tarihi: 2015
- Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.283-294
- Anahtar Kelimeler: symmetric modules, reduced modules, rigid modules, semicommutative modules, abelian modules, Rickart modules, principally projective modules, BAER
- Ankara Üniversitesi Adresli: Evet
Özet
Let R be an arbitrary ring with identity and Al a right R-module with S = End(R)(M). In this paper, we study right R-modules 11 haying; the property for f, g is an element of End(R)(M) and for m is an element of M, the condition f gm = 0 implies gfm = 0. We prove that some results of symmetric rings can be extended to symmetric [nodules for this general setting.