English

Transitivity of implicative aBE algebras

Rings and Algebras 2023-06-23 v1 Logic

Abstract

We prove that every implicative aBE algebra satisfies the transitivity property. This means that every implicative aBE algebra is a Tarski algebra, and thus is also a commutative BCK algebra.

Cite

@article{arxiv.2306.12427,
  title  = {Transitivity of implicative aBE algebras},
  author = {Denis Zelent},
  journal= {arXiv preprint arXiv:2306.12427},
  year   = {2023}
}
R2 v1 2026-06-28T11:11:00.376Z