A short note on t-filters, I-filters and extended filters on residuated lattices

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Informatics. Official publication website can be found on muni.cz.

Authors	VÍTA Martin
Year of publication	2015
Type	Article in Periodical
Magazine / Source	Fuzzy Sets and Systems
MU Faculty or unit	Faculty of Informatics
Citation
web	http://www.sciencedirect.com/science/article/pii/S0165011414004886
Doi	https://doi.org/10.1016/j.fss.2014.10.032
Field	General mathematics
Keywords	t-filters; I-filters; Extended filters; Residuated lattices
Description	The notion of a t-filter on residuated lattices was introduced in order to generalize a big amount of particular results about special types of filters (e.g. implicative, positive implicative, fantastic etc.). In this short note we are going to point out the relationship between t -filters and II-filters and also between t-filters and extended filters on residuated lattices.
Related projects:	Zastoupení ČR v European Research Consortium for Informatics and Mathematics