533 research outputs found
New generalizations of BCI, BCK and Hilbert algebras
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.Comment: Open problems 11.3 (1), (2), (3) were solved. New (20'), (21''),
Theorems 2.4,2.6, Cor. 2.5, 5.5 adde
Solid weak BCC-algebras
We characterize weak BCC-algebras in which the identity is
satisfied only in the case when elements belong to the same branch
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