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Why are papers about filters on residuated structures (usually) trivial?
- Source :
- Information Sciences. 276:387-391
- Publication Year :
- 2014
- Publisher :
- Elsevier BV, 2014.
-
Abstract
- 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.
- Subjects :
- Pure mathematics
Information Systems and Management
Property (philosophy)
Generalization
Extension (predicate logic)
Computer Science Applications
Theoretical Computer Science
Algebra
Artificial Intelligence
Control and Systems Engineering
Simple (abstract algebra)
Filter (mathematics)
Residuated lattice
Software
Quotient
Mathematics
Subjects
Details
- ISSN :
- 00200255
- Volume :
- 276
- Database :
- OpenAIRE
- Journal :
- Information Sciences
- Accession number :
- edsair.doi...........05ef0e882190c4525cf0d735b17488a9