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The Order of Hypersubstitutions of Type (2,1)
Joint Authors
Changphas, Tawhat
Hemvong, Wonlop
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-31
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Hypersubstitutions are mappings which map operation symbols to terms of the corresponding arities.
They were introduced as a way of making precise the concept of a hyperidentity and generalizations to M-hyperidentities.
A variety in which every identity is satisfied as a hyperidentity is called solid.
If every identity is an M-hyperidentity for a subset M of the set of all hypersubstitutions, the variety is called M-solid.
There is a Galois connection between monoids of hypersubstitutions and sublattices of the lattice of all varieties of algebras of a given type.
Therefore, it is interesting and useful to know how semigroup or monoid properties of monoids of hypersubstitutions transfer under this Galois connection to properties of the corresponding lattices of M-solid varieties.
In this paper, we study the order of each hypersubstitution of type (2,1), that is, the order of the cyclic subsemigroup of the monoid of all hypersubstitutions of type (2,1) generated by that hypersubstitution.
American Psychological Association (APA)
Changphas, Tawhat& Hemvong, Wonlop. 2011. The Order of Hypersubstitutions of Type (2,1). International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-485288
Modern Language Association (MLA)
Changphas, Tawhat& Hemvong, Wonlop. The Order of Hypersubstitutions of Type (2,1). International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-485288
American Medical Association (AMA)
Changphas, Tawhat& Hemvong, Wonlop. The Order of Hypersubstitutions of Type (2,1). International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-485288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485288