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New generalizations of BCI, BCK and Hilbert algebras

2013/12/06 by Afrodita Iorgulescu, Iorgulescu, Afrodita
Computer Science · Decision Sciences · Mathematics · #06D35 #06F15 #06F35 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Fuzzy and Soft Set Theory #Logic (math.LO) #math.LO #msc:06D35 #msc:06F15 #msc:06F35

paper · pdf · doi:10.48550/arxiv.1312.2494

Open problems 11.3 (1), (2), (3) were solved. New (20'), (21''), Theorems 2.4,2.6, Cor. 2.5, 5.5 added

openalex publication_date 2013/12/06 · arxiv created 2013/12/15 · arxiv updated 2013/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce more generalizations of BCI, BCK and of Hilbert algebras, with proper examples, and show the hierarchies existing between all these algebras, old and new ones. Namely, we found thirty one new generalizations of BCI and BCK algebras and twenty generalizations of Hilbert algebras.

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