Why are papers about filters on residuated structures (usually) trivial?
|Type||Article in Periodical|
|Magazine / Source||INFORMATION SCIENCES|
|MU Faculty or unit|
|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.|