On S-multiplication modules


Anderson D. D. , Arabaci T., TEKİR Ü. , KOÇ S.

COMMUNICATIONS IN ALGEBRA, cilt.48, sa.8, ss.3398-3407, 2020 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Konu: 8
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/00927872.2020.1737873
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.3398-3407

Özet

In this article, we introduce S-multiplication modules which are a generalization of multiplication modules. Let M be an R-module and a multiplicatively closed subset. M is said to be an S-multiplication module if for each submodule N of M there exist and an ideal I of R such that Besides giving many properties of S-multiplication modules, we generalize some results on multiplication modules to S-multiplication modules. Also, we study S-prime submodules in S-multiplication modules. In particular, we generalize prime avoidance lemma for multiplication modules to S -multiplication modules. Furthermore, we characterize multiplication modules in terms of S-multiplication modules. Communicated by Toma Albu