Shahrood University of Technology Journal of Algebraic Systems 2345-5128 14 3 2026 06 01 SOME ASPECTS OF K-HYPERIDEALS OF TERNARY HYPERSEMIRINGS 439 454 3821 10.22044/jas.2024.14092.1798 EN Md Salim Masud Molla Department of Mathematics, Barasat Govt. College, P.O. Box 700124, Barasat, India. Journal Article 2024 01 21 This paper introduces the concept of k-hyperideals of ternary hypersemirings and explores some of its fundamental characteristics. Next, k-hyperideals are used to characterize prime ternary hypersemirings and ternary hypersemifields. Moreover, k-hyperideals explain the quotient of ternary hypersemirings. Finally, the new kind of ternary hypersemirings is formed using regular equivalence relations, and the set of all k-hyperideals is generated from them. Ternary hypersemirings ternary hypersemifields k-hyperideals homomorphism regular equivalence relation https://jas.shahroodut.ac.ir/article_3821_19c3d47184d69ab2d625f72fe460c4ec.pdf