From subtractive ideals of semirings to deductive and inductive sets in general algebras
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910007729061888 |
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| author | Caviglia, Elena Goswami, Amartya Janelidze, Zurab Mesiti, Luca Shaumbwa, Vaino T. |
| author_facet | Caviglia, Elena Goswami, Amartya Janelidze, Zurab Mesiti, Luca Shaumbwa, Vaino T. |
| contents | In this paper we extend the characterisation of kernels in semirings as subtractive ideals to general algebras. We then analyse the counterparts of ``subtractive'' and ``ideal'' in several different algebraic settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01178 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From subtractive ideals of semirings to deductive and inductive sets in general algebras Caviglia, Elena Goswami, Amartya Janelidze, Zurab Mesiti, Luca Shaumbwa, Vaino T. Rings and Algebras 16Y60, 08A30, 08B05, 08B99 In this paper we extend the characterisation of kernels in semirings as subtractive ideals to general algebras. We then analyse the counterparts of ``subtractive'' and ``ideal'' in several different algebraic settings. |
| title | From subtractive ideals of semirings to deductive and inductive sets in general algebras |
| topic | Rings and Algebras 16Y60, 08A30, 08B05, 08B99 |
| url | https://arxiv.org/abs/2602.01178 |