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


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

ACTA MATHEMATICA HUNGARICA, cilt.112, ss.103-106, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 112
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s10474-006-0067-z
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Sayfa Sayıları: ss.103-106

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.