Classical S-primary submodules and their applications
Journal of Algebra and its Applications, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s021949882750263x
- Dergi Adı: Journal of Algebra and its Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- Anahtar Kelimeler: classical primary submodule, classical S-primary decomposition, Classical S-primary submodule, S-primary submodule, S-prime submodule
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
This paper introduces the concept of classical S-primary submodules, a generalization of S-primary submodules where S ⊆ℜ is a given multiplicatively closed subset. It provides various examples, characterizations, and relationships with classical primary submodules. Additionally, it investigates the conditions under which a submodule qualifies as classical S-primary. The paper proves the existence of classical S-primary decomposition in S-Noetherian modules, that is, every proper submodule E of an S-Noetherian ℜ-module X with (E:ℜX) ∩ S = ∅ can be expressed as a finite intersection of classical S-primary submodules. Finally, the behavior of the concept has been examined under homomorphisms, in factor modules, Cartesian products of modules, and amalgamated duplication of modules.