Subinjective portfolios and rings with a linearly ordered subinjective profile
Communications in Algebra, cilt.53, sa.1, ss.408-416, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 53 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.1080/00927872.2024.2377807
- 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.408-416
- Anahtar Kelimeler: subinjective portfolio, Subinjective profile, Subinjectivity domain
- Çukurova Üniversitesi Adresli: Evet
Özet
In this paper we study subinjectivity domains of various R-modules and inclusion relations between these domains. We show that if the class of all subinjectivity domains is linearly ordered, then R is right Noetherian, and is either a right V-ring or a ring with unique noninjective simple module U. For the latter case, if U is projective but not indigent, then there exists a ring decomposition (Formula presented.) such that S is a semisimple Artinian ring and T is an indecomposable right Artinian right hereditary ring. Also, in that case, if the subinjectivity domain of U is the only middle subinjectivity domain, then R is right Artinian.