2021/11/03 by Elif Kaya, Meli̇s Bolat, Kaya, Elif +7
Computer Science · Decision Sciences · Mathematics · #13A15 #13C05 #16Y20 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2111.02501
openalex publication_date 2021/11/03 · openalex created_date 2022/11/14 · openalex updated_date 2026/07/28
In this paper, we study commutative Krasner hyperring with nonzero identity. ϕ-prime, ϕ-primary and ϕ-δ-primary hyperideals are introduced. We intend to extend the concept of δ-primary hyperideals to ϕ-δ-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all hyperideals of \Re by L(\Re) (all proper hyperideals of \Re by L∗ (\Re)). Let ϕ be a reduction function such that ϕ:L(\Re)→ L(\Re)∪\∅\ and δ be an expansion function such that δ:L(\Re)→ L(\Re). N be a proper hyperideal of \Re. N is called ϕ-δ-primary hyperideal of \Re if a∘ b∈ N- ϕ(N), then a∈ N or b∈δ(N), for some a,b∈\Re. We discuss the relation between ϕ-δ-primary hyperideal and other hyperideals.