CHARACTERIZATION OF MODULES AND RINGS BY THE SUMMAND INTERSECTION PROPERTY AND THE SUMMAND SUM PROPERTY


Hamdouni A., ÖZCAN A. , Harmanci A.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, cilt.5, ss.469-490, 2005 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 5 Konu: 3
  • Basım Tarihi: 2005
  • Dergi Adı: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
  • Sayfa Sayıları: ss.469-490

Özet

R will be a ring with identity and modules M will be unital right R-modules. In this paper, properties of modules having the summand intersection property (SIP) and the summand sum property (SSP) are studied. We study the direct sum of modules, the SIP and the SSP. We add some results concerning characterization of some rings by means of modules having the SIP or the SSP.