New generalizations of BCI, BCK and Hilbert algebras

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.

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

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