English

On Skew Heyting Algebras

Rings and Algebras 2016-04-22 v2

Abstract

In the present paper we generalize the notion of a Heyting algebra to the non-commutative setting and hence introduce what we believe to be the proper notion of the implication in skew lattices. We list several examples of skew Heyting algebras, including Heyting algebras, dual skew Boolean algebras, conormal skew chains and algebras of partial maps with poset domains.

Keywords

Cite

@article{arxiv.1410.8780,
  title  = {On Skew Heyting Algebras},
  author = {Karin Cvetko-Vah},
  journal= {arXiv preprint arXiv:1410.8780},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T06:43:33.526Z