Two examples of subalgebras of the set of functions between bounded lattices
| Autor: | Zhi-qiang Liu, Xue-ping Wang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics High Energy Physics::Lattice Computational intelligence 02 engineering and technology Bounded distributive lattice Theoretical Computer Science 020901 industrial engineering & automation Distributive property Bounded function Lattice (order) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Geometry and Topology Software Mathematics |
| Zdroj: | Soft Computing. 23:12233-12240 |
| ISSN: | 1433-7479 1432-7643 |
| DOI: | 10.1007/s00500-019-04214-w |
| Popis: | This paper deals with the convolution operations on the set of functions between bounded lattices. Firstly, we show a subset of the set of functions that is both a bisemilattice and a Birkhoff system under the convolution operations and then show another subset of the set of functions that is a bounded distributive lattice under the convolution operations, while the domain lattice of the functions does not need to be distributive. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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