English

A note on residuated po-groupoids and lattices with antitone involutions

Rings and Algebras 2018-08-31 v1

Abstract

Following [Botur, M., Chajda, I., Hala\v{s}, R.: Are basic algebras residuated structures?, Soft Comput. 14 (2010), 251-255] we discuss the connections between left-residuated partially ordered groupoids and the so-called basic algebras, which are a non-commutative and non-associative generalization of MV-algebras and orthomodular lattices.

Keywords

Cite

@article{arxiv.1808.10293,
  title  = {A note on residuated po-groupoids and lattices with antitone involutions},
  author = {Ivan Chajda and Jan Kühr},
  journal= {arXiv preprint arXiv:1808.10293},
  year   = {2018}
}