Generalized circle plus-supplemented modules

Calisici H., Turkmen E.

ALGEBRA & DISCRETE MATHEMATICS, cilt.10, sa.2, ss.10-18, 2010 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2010
  • Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.10-18
  • Anahtar Kelimeler: generalized cover, generalized supplemented module, circle plus-supplemcntcd module, genclalized circle plus-supplemented module
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Let R be a ring and. M be a left R-module. M is called generalized circle plus- supplemented if every submodule of M has a generalized supplement that is a direct summandof M. In this paper we give various properties of such modules. We show that any finite direct sum of generalizedu circle plus-supplemented modules is generalized circle plus-supplemented. If M is a generalized circle plus-supplemented module with (D3), then every direct summand of M is generalized circle plus-supplemented. We also give some properties of generalized cover.