On modules and matrix rings with sip-extending

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Karabacak F., Tercan A.

TAIWANESE JOURNAL OF MATHEMATICS, vol.11, no.4, pp.1037-1044, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.11650/twjm/1500404800
  • Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1037-1044
  • Hacettepe University Affiliated: No

Abstract

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.