Geodesic
The greatest regular-solid variety of semigroups % Dedicated to R. McKenzie's 60$^th$ birthday %
Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 1, pp. 91-119

Voir la notice de l'article provenant de la source Library of Science

A regular hypersubstitution is a mapping which takes every n_i-ary operation symbol to an n_i-ary term. A variety is called regular-solid if it contains all algebras derived by regular hypersubstitutions. We determine the greatest regular-solid variety of semigroups. This result will be used to give a new proof for the equational description of the greatest solid variety of semigroups. We show that every variety of semigroups which is finitely based by hyperidentities is also finitely based by identities.
Keywords: hypersubstitutions, terms, regular-solid variety, solid variety, finite axiomatizability 
@article{DMGAA_2008_28_1_a5,
     author = {Denecke, Klaus and Koppitz, J\"org and Pabhapote, Nittiya},
     title = {The greatest regular-solid variety of semigroups % {Dedicated} to {R.} {McKenzie's} 60$^th$ birthday %},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {91--119},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2008_28_1_a5/}
}
TY  - JOUR
AU  - Denecke, Klaus
AU  - Koppitz, Jörg
AU  - Pabhapote, Nittiya
TI  - The greatest regular-solid variety of semigroups % Dedicated to R. McKenzie's 60$^th$ birthday %
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2008
SP  - 91
EP  - 119
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2008_28_1_a5/
LA  - en
ID  - DMGAA_2008_28_1_a5
ER  - 
%0 Journal Article
%A Denecke, Klaus
%A Koppitz, Jörg
%A Pabhapote, Nittiya
%T The greatest regular-solid variety of semigroups % Dedicated to R. McKenzie's 60$^th$ birthday %
%J Discussiones Mathematicae. General Algebra and Applications
%D 2008
%P 91-119
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2008_28_1_a5/
%G en
%F DMGAA_2008_28_1_a5
Denecke, Klaus; Koppitz, Jörg; Pabhapote, Nittiya. The greatest regular-solid variety of semigroups % Dedicated to R. McKenzie's 60$^th$ birthday %. Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 1, pp. 91-119. http://geodesic.mathdoc.fr/item/DMGAA_2008_28_1_a5/