On normal modules

Jayaram C., TEKİR Ü., KOÇ S., ÇEKEN S.

Communications in Algebra, cilt.51, sa.4, ss.1479-1491, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00927872.2022.2137519
  • 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.1479-1491
  • Anahtar Kelimeler: Baer modules, locally torsion-free modules, normal modules, quasi-regular modules
  • Marmara Üniversitesi Adresli: Evet

Özet

Recall that a commutative ring (Formula presented.) is said to be a normal ring if it is reduced and every two distinct minimal prime ideals are comaximal. A finitely generated reduced R-module (Formula presented.) is said to be a normal module if every two distinct minimal prime submodules are comaximal. The concepts of normal modules and locally torsion free modules are different, whereas they are equal in theory of commutative rings. We give many properties and examples of normal modules, we use them to characterize locally torsion free modules and Baer modules. Also, we give the topological characterizations of normal modules.