DocumentCode :
3266876
Title :
Algebraic properties of totally irreducible elements of clone lattices
Author :
Pogosyan, G.R.
Author_Institution :
Math. & Comput. Sci., Int. Christian Univ., Tokyo, Japan
fYear :
2004
fDate :
19-22 May 2004
Firstpage :
109
Lastpage :
114
Abstract :
Totally join- (meet-) irreducible elements are important for algebraic lattices since the join-(meet-) generates them. We study such elements for clone lattices, particularly for the clone lattice on a k-element universe. We show that in this case the set of totally join- (meet-) irreducible clones is countable; in particular that there are 2k-1(2k-2) countable descending chains of such clones.
Keywords :
algebra; algebraic lattices; clone lattice algebraic properties; clone lattice totally irreducible elements; countable clone set; countable descending clone chains; join-irreducible elements; k-element universe; meet-irreducible elements; Algebra; Cloning; Computer science; Lattices; Logic; Mathematics; Statistics;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Multiple-Valued Logic, 2004. Proceedings. 34th International Symposium on
ISSN :
0195-623X
Print_ISBN :
0-7695-2130-4
Type :
conf
DOI :
10.1109/ISMVL.2004.1319928
Filename :
1319928
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3266876
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