On modules and matrix rings with sip-extending
TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.4, ss.1037-1044, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 4
- Basım Tarihi: 2007
- Doi Numarası: 10.11650/twjm/1500404800
- Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1037-1044
- Anahtar Kelimeler: summand intersection property, extending modules, C-11-modules, Morita invariant, SUMMAND INTERSECTION PROPERTY
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Anadolu Üniversitesi Adresli: Hayır
Özet
In this note we study modules with the property that the intersection of two direct summands is essential in a direct summand (SIP-extending). Amongst other results we show that the class of right SIP-extending modules is neither closed under direct sums nor Morita invariant. Further we deal with direct summands of a SIP-extending module and SIP-extending matrix rings.