Characteristics of Hyperideals in Ternary Semihyperrings

Authors

DOI:

https://doi.org/10.26713/cma.v13i1.1683

Keywords:

Semihyperring, Ternary semihyperring, Hyperideal, Minimal and maximal hyperideal, (0-)simple ternary semihyperring

Abstract

Ternary semihyperring is an algebraic structure with one binary hyper operation and ternary multiplication. In this paper, we give some properties of hyperideals in ternary semihyperring. We introduce the notion of simple, (0-)simple ternary semihyperring and characterize the minimality and maximality of hyperideals in ternary semihyperring. The relationship between them is investigated in ternary semihyperring extending and generalizing the analogous results for ternary semirings.

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Published

23-05-2022
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How to Cite

Anuradha, T., Prasannam, V. L., & Jayalakshmi, K. (2022). Characteristics of Hyperideals in Ternary Semihyperrings. Communications in Mathematics and Applications, 13(1), 295–306. https://doi.org/10.26713/cma.v13i1.1683

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Research Article