English

When a quotient of a distributive lattice is a boolean algebra

Rings and Algebras 2019-09-10 v1 Logic

Abstract

In this article, we introduce a lattice congruence with respect to a nonempty ideal II of a distributive lattice LL and a derivation dd on LL denoted by θId\theta_I^d. We investigate some necessary and sufficient conditions for the quotient algebra L/θIdL/\theta_I^d to become a Boolean algebra.

Keywords

Cite

@article{arxiv.1909.03106,
  title  = {When a quotient of a distributive lattice is a boolean algebra},
  author = {Hasan Barzegar},
  journal= {arXiv preprint arXiv:1909.03106},
  year   = {2019}
}