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

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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	http://dx.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