@article {
author = {Rezaei, A. and Soleymani, S.},
title = {Applications of states to BI-algebras},
journal = {Journal of Algebraic Hyperstructures and Logical Algebras},
volume = {3},
number = {3},
pages = {45-63},
year = {2022},
publisher = {Hatef College University},
issn = {2676-6000},
eissn = {2676-6019},
doi = {},
abstract = {This paper aims is to introduce states, Bosbach states and state-morphism operators on BI-algebras. We define state ideals on BI-algebras and give a characterization of the least state ideal of a BI-algebra. It is proved that the kernel of a Bosbach state on a BI-algebra X is an ideal of X. Further, by these concepts, we introduce the notions of state BI-algebras and state-morphism BI-algebras. The notion of complement pairs of a BI-algebra X is defined, and proves that under suitable conditions, there is a one-to-one correspondence between complement pairs of BI-algebras and state-morphism operators on BI-algebras. },
keywords = {BI-algebra,Distributive,Bosbach state,state-morphism operator},
url = {http://jahla.hatef.ac.ir/article_154391.html},
eprint = {http://jahla.hatef.ac.ir/article_154391_d4aee9a51e3336ea763dd9eb6b2711d9.pdf}
}