Geodesic
The Galois correspondence between subvariety lattices and monoids of hpersubstitutions
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 21-36

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

Denecke and Reichel have described a method of studying the lattice of all varieties of a given type by using monoids of hypersubstitutions. In this paper we develop a Galois correspondence between monoids of hypersubstitutions of a given type and lattices of subvarieties of a given variety of that type. We then apply the results obtained to the lattice of varieties of bands (idempotent semigroups), and study the complete sublattices of this lattice obtained through the Galois correspondence.
Keywords: hypersubstitutions, hyperidentities, M-hyperidentities, monoids of hypersubstitutions, varieties, solid varieties, M-solid varieties of bands, Galois correspondence 
@article{DMGAA_2000_20_1_a1,
     author = {Denecke, Klaus and Hyndman, Jennifer and Wismath, Shelly},
     title = {The {Galois} correspondence between subvariety lattices and monoids of hpersubstitutions},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {21--36},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a1/}
}
TY  - JOUR
AU  - Denecke, Klaus
AU  - Hyndman, Jennifer
AU  - Wismath, Shelly
TI  - The Galois correspondence between subvariety lattices and monoids of hpersubstitutions
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2000
SP  - 21
EP  - 36
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a1/
LA  - en
ID  - DMGAA_2000_20_1_a1
ER  - 
%0 Journal Article
%A Denecke, Klaus
%A Hyndman, Jennifer
%A Wismath, Shelly
%T The Galois correspondence between subvariety lattices and monoids of hpersubstitutions
%J Discussiones Mathematicae. General Algebra and Applications
%D 2000
%P 21-36
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a1/
%G en
%F DMGAA_2000_20_1_a1
Denecke, Klaus; Hyndman, Jennifer; Wismath, Shelly. The Galois correspondence between subvariety lattices and monoids of hpersubstitutions. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 21-36. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a1/