Kites and Pseudo BL-algebras
Rings and Algebras
2012-07-10 v1
Abstract
We investigate a construction of a pseudo BL-algebra out of an -group called a kite. We show that many well-known examples of algebras related to fuzzy logics can be obtained in that way. We describe subdirectly irreducible kites. As another application, we exhibit a new countably infinite family of varieties of pseudo BL-algebras covering the variety of Boolean algebras.
Cite
@article{arxiv.1207.2129,
title = {Kites and Pseudo BL-algebras},
author = {Anatolij Dvurecenskij and Tomasz Kowalski},
journal= {arXiv preprint arXiv:1207.2129},
year = {2012}
}