Some examples of BL-algebras using commutative rings
Rings and Algebras
2022-11-14 v1
Abstract
The aim of this paper is to analize the structure of BL-algebras using commutative rings. From computational considerations, we are very interested in the finite case. We present new ways to generate finite BL-algebras using commutative rings and we give summarizing statistics. Furthermore, we investigated BL-rings, i.e., commutative rings whose the lattice of ideals can be equiped with a structure of BL-algebra. A new characterization for these rings and their connections to other classes of rings are established. Also, we give examples of finite BL-rings for which their lattice of ideals is not an MV-algebra and using these rings we construct BL-algebras with elements, and \ all BL-chains with elements,
Cite
@article{arxiv.2211.06297,
title = {Some examples of BL-algebras using commutative rings},
author = {Cristina Flaut and Dana Piciu},
journal= {arXiv preprint arXiv:2211.06297},
year = {2022}
}