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22 April 2022 Coset decomposition of BCI-algebras
XIaobo Cai
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Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633P (2022) https://doi.org/10.1117/12.2627814
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China
Abstract
BCK/BCI algebras are two classes of logic algebras. Previous studies have enriched the relevant theories about that. Some researchers have solved the counting problem of BCI algebras with less than six elements. But the counting problem of general BCI algebra is still unsolved. In this paper, the definition about the coset of BCI-algebra will be given. And some characters about the cosets on some particular sub-algebras will be studied. Finally, the cosets of right-eliminable BCI-algebras will be studied. A theorem about counting BCI-algebra will be given.
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XIaobo Cai "Coset decomposition of BCI-algebras", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633P (22 April 2022); https://doi.org/10.1117/12.2627814
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KEYWORDS
Brain-machine interfaces
Basic research
Mathematics
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