A Bijection between Lattice-Valued Filters and Lattice-Valued Congruences in Residuated Lattices. (18th July 2013)
- Record Type:
- Journal Article
- Title:
- A Bijection between Lattice-Valued Filters and Lattice-Valued Congruences in Residuated Lattices. (18th July 2013)
- Main Title:
- A Bijection between Lattice-Valued Filters and Lattice-Valued Congruences in Residuated Lattices
- Authors:
- Wei, Wei
Qiang, Yan
Zhang, Jing - Other Names:
- Liu Bin Academic Editor.
- Abstract:
- Abstract : The aim of this paper is to study relations between lattice-valued filters and lattice-valued congruences in residuated lattices. We introduce a new definition of congruences which just depends on the meet ∧ and the residuum → . Then it is shown that each of these congruences is automatically a universal-algebra-congruence. Also, lattice-valued filters and lattice-valued congruences are studied, and it is shown that there is a one-to-one correspondence between the set of all (lattice-valued) filters and the set of all (lattice-valued) congruences.
- Is Part Of:
- Mathematical problems in engineering. Volume 2013(2013)
- Journal:
- Mathematical problems in engineering
- Issue:
- Volume 2013(2013)
- Issue Display:
- Volume 2013, Issue 2013 (2013)
- Year:
- 2013
- Volume:
- 2013
- Issue:
- 2013
- Issue Sort Value:
- 2013-2013-2013-0000
- Page Start:
- Page End:
- Publication Date:
- 2013-07-18
- Subjects:
- Engineering mathematics -- Periodicals
510.2462 - Journal URLs:
- https://www.hindawi.com/journals/mpe/ ↗
http://www.gbhap-us.com/journals/238/238-top.htm ↗ - DOI:
- 10.1155/2013/908623 ↗
- Languages:
- English
- ISSNs:
- 1024-123X
- Deposit Type:
- Legaldeposit
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 21187.xml