New generalizations of BCI, BCK and Hilbert algebras
Logic
2013-12-17 v2
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.
Cite
@article{arxiv.1312.2494,
title = {New generalizations of BCI, BCK and Hilbert algebras},
author = {Afrodita Iorgulescu},
journal= {arXiv preprint arXiv:1312.2494},
year = {2013}
}
Comments
Open problems 11.3 (1), (2), (3) were solved. New (20'), (21''), Theorems 2.4,2.6, Cor. 2.5, 5.5 added