Submodules Satisfying the Uniformly Classical S-Primary Property

Naji O. A., YILDIZ YILMAZ E., Özen M., TEKİR Ü.

Journal of Mathematics, cilt.2026, sa.1, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2026 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1155/jom/6349278
  • Dergi Adı: Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: classical S-primary submodules, uniformly classical S-primary submodule, uniformly primary submodules
  • Yıldız Teknik 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 (Formula presented.) 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.