Subinjective portfolios and rings with a linearly ordered subinjective profile
Communications in Algebra, vol.53, no.1, pp.408-416, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 53 Issue: 1
- Publication Date: 2025
- Doi Number: 10.1080/00927872.2024.2377807
- Journal Name: Communications in Algebra
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.408-416
- Keywords: subinjective portfolio, Subinjective profile, Subinjectivity domain
- Çukurova University Affiliated: Yes
Abstract
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.