Beta G-Star Relation on Modules

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Nebiyev C., Sokmez N.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.11, sa.1, ss.238-243, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.29020/nybg.ejpam.v11i1.2741
  • Dergi Adı: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.238-243
  • Anahtar Kelimeler: Submodules, Generalized Small Submodules, Supplemented Modules, G-Supplemented Modules, SUPPLEMENTED MODULES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, we say submodules X and Y of M are 13; equivalence, X beta*Y-g, if and only if Y + K = M for every K <= M such that X + K = M and X + T = M for every T <= M such that Y+T = M. It is proved that the 39 relation is an equivalent relation and has good behaviour with respect to addition of submodules and homomorphisms.