When is the SIP (SSP) property inherited by free modules

Birkenmeier G. F., Karabacak F., Tercan A.

ACTA MATHEMATICA HUNGARICA, cilt.112, sa.1-2, ss.103-106, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 1-2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s10474-006-0067-z
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.103-106
  • Anahtar Kelimeler: summand intersection property, summand sum property, C-11-module, SUMMAND INTERSECTION PROPERTY
  • Anadolu Üniversitesi Adresli: Hayır

Özet

A right R-module M has right SIP (SSP) if the intersection (sum) of two direct summands of M is also a direct summand. It is shown that the right SIP (SSP) is not a Morita invariant property and that a nonsingular C-11(+)-module does not necessarily have SIP. In contrast, it is shown that the direct sum of two copies of a right Ore domain has SIP as a right module over itself.