Amply weak semisimple-supplemented modules

Creative Commons License

Mutlu F. T.

International Journal of Pure and Applied Mathematics, cilt.83, sa.4, ss.613-621, 2013 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Sayı: 4
  • Basım Tarihi: 2013
  • Doi Numarası: 10.12732/ijpam.v83i4.10
  • Dergi Adı: International Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.613-621
  • Anahtar Kelimeler: Amply weak semisimple-supplemented module, Supplement submodule, Weak semisimple-supplement submodule
  • Anadolu Üniversitesi Adresli: Evet

Özet

Let R be a ring and M be a right R-module. In this paper we will study various properties of amply weak semisimple-supplemented module. It is shown that: (1) every projective weakly semisimple-supplemented module is amply weak semisimple-supplemented; (2) if M is an amply weak semisimplesupplemented module and satisfies DCC on weak semisimple-supplement submodules and on small submodules, then M is Artinian; (3) an amply weak semisimple-supplemented module behaves well with respect to supplements and to homomorphic images. © 2013 Academic Publications, Ltd.