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arXiv · 2501.02678

Structures of $(m,n)$-seminearring

M. S. L. Liedokto
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Abstract

This article introduces the $m, n)$-seminearring structure, which is a generalization of $(m, n)$-semiring. This research aims to develop theories of $(m, n)$-seminearring. In particular, the concepts of $(m, n)$-seminearring, $(m, n)$-subseminearring, $(m, n)$-ideal, $(m, n)$-seminearring with unity, homomorphism of $(m, n)$-seminearrings, construction of factor $(m, n)$-seminearring of $(m, n)$-seminearring by congruence relation, and some of its exciting properties are given. The method used in this study is to adopt the theory in $(m, n)$-semiring.

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M. S. L. Liedokto. 2025-01-05. Structures of $(m,n)$-seminearring. https://doi.org/10.17632/vjf88c86gr.1

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