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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2501.02678 |
| Etiquetas: |
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- 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.