Ziqing Wei, Wenting Xiong
Abstract
In this paper, the congruence pairs on additive inverse semirings are defined. Some results about congruences and congruence pairs on ad-ditive inverse semirings are given. Our main conclusion is that congru-ences on semirings are ascertained by congruence pairs on it uniquely.
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In this paper, the congruence pairs on additive inverse semirings are defined. Some results about congruences and congruence pairs on ad-ditive inverse semirings are given. Our main conclusion is that congru-ences on semirings are ascertained by congruence pairs on it uniquely.
Key concepts: Congruence relation, Mathematics, Characterization (materials science), Congruence (geometry), Inverse, Pure mathematics, Geometry, Nanotechnology