SOME ASPECTS OF K-HYPERIDEALS OF TERNARY HYPERSEMIRINGS

Document Type : Original Manuscript

Author

Department of Mathematics, Barasat Govt. College, P.O. Box 700124, Barasat, India.

10.22044/jas.2024.14092.1798

Abstract

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.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 3
June 2026
Pages 439-454

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