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- Title
Semigroup properties of linear terms.
- Authors
Lohapan, Laddawan; Jampachon, Prakit
- Abstract
The concept of linear terms of a given type (terms in which each variable occurs at most once) was introduced by M. Couceiro and E. Lethonen in [Galois theory for sets of operations closed under permutation, cylindrification and composition, Algebr. Univ. 67 (2012) 273-297, doi:10.1007/s00012-012-0184-1] (see also [T. Changphas, K. Denecke and B. Pibaljommee, Linear terms and linear hypersubstitutions, SEAMS Bull. Math. 40 (2016) (to be published).]). In this paper, we introduce binary partial operations and on the set of all linear terms of type Then we characterize regular elements and Green's relations in these partial algebras.
- Subjects
SEMIGROUPS (Algebra); COUCEIRO, M.; LETHONEN, E.; GALOIS theory; PARTIAL algebras
- Publication
Asian-European Journal of Mathematics, 2017, Vol 10, Issue 1, p-1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S1793557117500516