On skew Heyting algebras

Authors

  • Karin Cvetko-Vah University of Ljubljana

DOI:

https://doi.org/10.26493/1855-3974.757.7ec

Keywords:

Skew lattices, Heyting algebras, non-commutative algebra, intuitionistic logic

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.

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Published

2016-04-21

Issue

Vol. 12 No. 1 (2017)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/