Prime, weakly prime and almost prime elements in multiplication lattice modules

ASLANKARAYİĞİT UĞURLU E., ÇALLIALP F., TEKİR Ü.

OPEN MATHEMATICS, cilt.14, ss.673-680, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/math-2016-0062
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.673-680
  • Anahtar Kelimeler: Multiplication lattice module, Prime element, Weakly prime element and Almost prime element, DUAL NOTION
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module. With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.