Beta G-Star Relation on Modules

Creative Commons License

Nebiyev C., Sokmez N.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.11, no.1, pp.238-243, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.29020/nybg.ejpam.v11i1.2741
  • Journal Name: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.238-243
  • Keywords: Submodules, Generalized Small Submodules, Supplemented Modules, G-Supplemented Modules, SUPPLEMENTED MODULES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.