On modules and matrix rings with sip-extending

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Karabacak F., Tercan A.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.4, ss.1037-1044, 2007 (SCI-Expanded) identifier identifier

  • 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
  • Hacettepe 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.