1 research outputs found
Extensions of -ary prime hyperideals via an -ary multiplicative subset in a Krasner -hyperring
Let R be a Krasner (m,n)-hyperring and S be an n-ary multiplicative subset of
R. The purpose of this paper is to introduce the notion of n-ary S-prime
hyperideals as a new expansion of n-ary prime hyperideals. Several properties
and characterizations concerning n-ary S-prime hyperideals are presented. The
stability of this new concept with respect to various hyperring-theoretic
constructions are studied. Furthermore, we extend this concept to n-ary
S-primary hyperideals. We obtained some specific results explaining the
structure.Comment: arXiv admin note: substantial text overlap with arXiv:2110.10878.
text overlap with arXiv:2205.1507