TWO NEW AXIOMATIZATIONS OF BM-ALGEBRAS

  • DANIEL A. ROMANO
    International Mathematical Virtual Institute Kordunaška Street 6, 78000 Banja Luka, Bosnia and Herzegovina ORCID: 0000-0003-1148-3258
    daniel.a.romano@hotmail.com

Abstract

In this paper two new axiomatizations of the concept of BM-algebra from Algebraic logic are introduced. It is shown how the properties of the BM-algebra can be deduced from the newly designed axiomatizations. The correspondence between ideals and subalgebras is described in this class of algebras.

Cuvinte cheie

BM-algebra axiomatization of BM-algebras sub-algebra of BM-algebra ideal in BM-algebra congruence on BM-algebras.