Abstract:
This article discusses the properties of BV -algebras, the relationship between BV -
algebras with B-algebras, BF-algebras, and Coxeter-algebras, the relationship is
proven through the properties possessed by BV -algebras with B-algebras, BFalgebras,
BM-algebras, and Coxeter algebras are interrelated. Then, by using ideal
properties of other algebras, the ideal properties of BV -algebras obtained. This
article is a review and development of article of Hwang et al. [Mathematics MDPI,
8 (2020), 1779].