3 papers
math.LO2019
Relatively residuated lattices and posets
Ivan Chajda, Helmut Länger
It is known that every relatively pseudocomplemented lattice is residuated and, moreover, it is distributive. Unfortunately, non-distributive lattices with a unary operation satisf…
math.RA2018
Some properties of pseudo-BCK- and pseudo-BCI-algebras
Petr Emanovský, Jan Kühr
Pseudo-BCI-algebras generalize both BCI-algebras and pseudo-BCK-algebras, which are a non-commutative generalization of BCK-algebras. In this paper, following [J.G. Raftery and C.J…
math.RA2018
A note on residuated po-groupoids and lattices with antitone involutions
Ivan Chajda, Jan Kühr
Following [Botur, M., Chajda, I., Halaš, R.: Are basic algebras residuated structures?, Soft Comput. 14 (2010), 251-255] we discuss the connections between left-residuated partiall…