On Weakly S-Primary Hyperideals in a Krasner (m, n)-Hyperring

Mahdi Anbarloei

Journal of Mathematics, 2026, vol. 2026, 1-9

Abstract: Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring. Among these, weakly primary hyperideals and S-primary hyperideals have been studied recently. This paper aims to characterize weakly n-ary S-primary hyperideals, which serve as an expansion encompassing both weakly n-ary primary hyperideals and n-ary S-primary hyperideals. In order to achieve this goal, we construct a hyperideal with the help of an n-ary multiplicative subset of a Krasner m,n-hyperring. Let A be a Krasner m,n-hyperring, S an n-ary multiplicative subset of A and Q a hyperideal of A with Q∩S=∅. We say that Q is a weakly n-ary S-primary hyperideal if there exists an s∈S such that, for all a1n∈A, if 0≠ga1n∈Q, then gs,ai,1An−2∈Q or ga1i−1,s,ai+1n∈radQ for some i∈1,…,n. We present some main results and examples explaining the structure of this notion. Most results determined by weakly n-ary primary hyperideals and n-ary S-primary hyperideals are also obtained through the broader scope of weakly n-ary S-primary hyperideals.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/4467620.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/4467620.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4467620

DOI: 10.1155/jom/4467620

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().