On spectrum of comultiplication modules

ÖNEŞ O.

COMMUNICATIONS IN ALGEBRA, cilt.50, sa.1, ss.190-198, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/00927872.2021.1955904
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.190-198
  • Anahtar Kelimeler: Comultiplication modules, dual Zariski topology, Noetherian spectrum, second submodules, second radical, 2ND SPECTRUM, ZARISKI
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this article, comultiplication modules in terms of dual Zariski topology are characterized. Some connections between subspaces of a complement dual Zariski topology and submodules of a comultiplication module are studied. Then, some useful relations between open subsets of a complement dual Zariski topology and second radical submodules related to these are obtained. Finally, direct connections among rings, comultiplication modules, the complement dual Zariski topology and the dual Zariski topology are established.