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Congruence Lattices of Symmetric Extended De Morgan Algebras.
- Source :
- Bulletin of the Malaysian Mathematical Sciences Society; Oct2015, Vol. 38 Issue 4, p1471-1480, 10p
- Publication Year :
- 2015
-
Abstract
- In this paper, we characterize the congruence lattice of a symmetric extended De Morgan algebra $$L$$ . We show that the congruence lattice of the algebra $$L$$ is a pseudocomplemented lattice, and that such a congruence lattice is a Stone lattice if and only if the lattice of the compact congruences on $$L$$ forms a complete Boolean lattice. In particular, we prove that the congruence lattice of $$L$$ is a Boolean lattice if and only if, it is a relative Stone lattice, which is the case, if and only if $$L$$ is finite. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONGRUENCE lattices
LATTICE theory
MATHEMATICS theorems
ALGORITHMS
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 01266705
- Volume :
- 38
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Bulletin of the Malaysian Mathematical Sciences Society
- Publication Type :
- Academic Journal
- Accession number :
- 109251155
- Full Text :
- https://doi.org/10.1007/s40840-014-0084-y