Modules which are Reduced over their Endomorphism Rings
THAI JOURNAL OF MATHEMATICS, cilt.13, sa.1, ss.177-188, 2015 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- Basım Tarihi: 2015
- Dergi Adı: THAI JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.177-188
- Anahtar Kelimeler: Reduced modules, rigid modules, semicommutative modules, abelian modules, Baer modules, quasi-Baermodules, principally quasi-Baermodules, Rickart modules, principally projective modules
- Ankara Üniversitesi Adresli: Evet
Özet
Let R be an arbitrary ring with identity and M a right R-module with S = End(R)( M). The module M is called reduced if for any m is an element of M and f is an element of S, fm = 0 implies fM boolean AND Sm = 0. In this paper, we investigate properties of reduced modules and rigid modules.