Structures of $(m,n)$-seminearring
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915092052836352 |
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| author | Liedokto, M. S. L. |
| author_facet | Liedokto, M. S. L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02678 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structures of $(m,n)$-seminearring Liedokto, M. S. L. Rings and Algebras 03G27 F.4 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. |
| title | Structures of $(m,n)$-seminearring |
| topic | Rings and Algebras 03G27 F.4 |
| url | https://arxiv.org/abs/2501.02678 |