ArticleOriginal scientific text
Title
The order of normalform hypersubstitutions of type (2)
Authors 1, 2
Affiliations
- University of Potsdam, Institute of Mathematics, PF 60 15 53, 14415 Potsdam, Germany
- State University of New York, College at Potsdam, Department of Mathematics, Potsdam, NY 13767, USA
Abstract
In [2] it was proved that all hypersubstitutions of type τ = (2) which are not idempotent and are different from the hypersubstitution whichmaps the binary operation symbol f to the binary term f(y,x) haveinfinite order. In this paper we consider the order of hypersubstitutionswithin given varieties of semigroups. For the theory of hypersubstitution see [3].
Keywords
hypersubstitutions, terms, idempotent elements, elements of infinite order
Bibliography
- K. Denecke, D. Lau, R. Pöschel, and D. Schweigert, Hyperidentities, hyperequational classes and clone congruences, Contributions to General Algebra 7 (1991), 97-118.
- K. Denecke and Sh. Wismath, The Monoid of Hypersubstitutions of Type (2), Contributions to General Algebra, Verlag Johannes Heyn, 10 (1998), 110-126.
- K. Denecke and Sh. Wismath, 'Hyperidentities and clones', Gordon and Breach Sci. Publ., Amsterdam-Singapore 2000.
- J. Płonka, Proper and inner hypersubstitutions of varieties, 'Proceedings of the International Conference: Summer school on General Algebra and Ordered sets 1994', Palacký University, Olomouc 1994, 106-115.
Pages:
183-192
Main language of publication
English
Received
1997-12-03
Accepted
1999-12-30
Published
2000
DOI: 10.7151/dmgaa.1015
Exact and natural sciences