Quasicomplemented residuated lattices
Rings and Algebras
2019-04-24 v1
Abstract
In this paper, the class of quasicomplemented residuated lattices is introduced and investigated, as a subclass of residuated lattices in which any prime filter not containing any dense element is a minimal prime filter. The notion of disjunctive residuated lattices is introduced and it is observed that a residuated lattice is Boolean if and only if it is disjunctive and quasicomplemented. Finally, some characterizations for quasicomplemented residuated lattices are given by means of the new notion of -filters.
Keywords
Cite
@article{arxiv.1904.10302,
title = {Quasicomplemented residuated lattices},
author = {Saeed Rasouli},
journal= {arXiv preprint arXiv:1904.10302},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1812.11511, arXiv:1812.11510