A New Type Fuzzy Module over Fuzzy Rings


Yetkin E., OLGUN N.

SCIENTIFIC WORLD JOURNAL, 2014 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/730932
  • Dergi Adı: SCIENTIFIC WORLD JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Marmara Üniversitesi Adresli: Evet

Özet

A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee's definition of the fuzzy group and Aktas and Cagman's definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogous of ordinary module theory.