Submodules Satisfying the Uniformly Classical S-Primary Property
Journal of Mathematics, cilt.2026, ss.1-7, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2026
- Basım Tarihi: 2026
- Doi Numarası: 10.1155/jom/6349278
- Dergi Adı: Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus, Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.1-7
- Marmara Üniversitesi Adresli: Evet
Özet
We define uniformly classical S-primary submodules, where S is a multiplicatively closed subset. A submodule W of an H-module E with (W:HE)∩S = ∅ is said to be a uniformly classical S-primary submodule if ∃s ∈ S and 
such that whenever ηγν ∈ W for η, γ ∈ H, ν ∈ E, then sην ∈ W or (sγ)kν ∈ W. We investigate many properties of this new type of submodules and give relations with the other submodules. We provide various characterizations of this class of submodules in terms of other submodules and ideals. Moreover, we study the notion under homomorphisms, in factor modules, Cartesian product, localization, idealization, and amalgamation modules along an ideal with respect to a homomorphism.
We define uniformly classical S-primary submodules, where S is a multiplicatively closed subset. A submodule W of an H-module E with (W:HE)∩S = ∅ is said to be a uniformly classical S-primary submodule if ∃s ∈ S and such that whenever ηγν ∈ W for η, γ ∈ H, ν ∈ E, then sην ∈ W or (sγ)kν ∈ W. We investigate many properties of this new type of submodules and give relations with the other submodules. We provide various characterizations of this class of submodules in terms of other submodules and ideals. Moreover, we study the notion under homomorphisms, in factor modules, Cartesian product, localization, idealization, and amalgamation modules along an ideal with respect to a homomorphism.