Why are papers about filters on residuated structures (usually) trivial?

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Authors

VÍTA Martin

Year of publication 2014
Type Article in Periodical
Magazine / Source INFORMATION SCIENCES
MU Faculty or unit

Faculty of Informatics

Citation
Web http://www.sciencedirect.com/science/article/pii/S0020025514000310
Doi http://dx.doi.org/10.1016/j.ins.2014.01.013
Field Informatics
Keywords Residuated lattice; Filter; t-Filter
Description In this paper we introduce a notion of a t-filter on residuated lattices which is a generalization of several special types of filters. We provide some basic properties of t-filters and show how particular results about special types of filters (e.g. Extension property, Triple of equivalent characteristics, and Quotient characteristics) are uniformly covered by this simple general framework. (C) 2014 Elsevier Inc. All rights reserved.
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