On graded S−comultiplication modules

Autor: Mohammad Hamoda, Khaldoun Al-Zoubi
Jazyk: English<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.63403
Popis: In this paper, we introduce the concept of graded S−comultiplication modules. Several results concerning graded S−comultiplication modules are proved. We show that N is a graded S−second submodule of a graded S−comultiplication R−module M if and only if Ann_R(N) is a graded S−prime ideal of R and there exists x ∈ S such that xN ⊆x- for every x- ∈ S.
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