Generalized SIP-modules

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TAŞDEMİR Ö., KARABACAK F.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.4, ss.1137-1145, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2018.572
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1137-1145
  • Anahtar Kelimeler: SIP, GSIP, injective module, direct sum, V-ring, INTERSECTION, SUBMODULE, RINGS
  • Anadolu Üniversitesi Adresli: Evet

Özet

We say an R-module M has the generalized summand intersection property (briefly GSIP), if the intersection of any two direct summands is isomorphic to a direct summand. This is a generalization of SIP modules. In this note, the characterization of this property over rings and modules is investigated and some useful propositions obtained in SIP modules are generalized to GSIP modules.