Definability for equational theories of commutative groupoids
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 2, pp. 305-333.

Voir la notice de l'article dans Czech Digital Mathematics Library

We find several large classes of equations with the property that every automorphism of the lattice of equational theories of commutative groupoids fixes any equational theory generated by such equations, and every equational theory generated by finitely many such equations is a definable element of the lattice. We conjecture that the lattice has no non-identical automorphisms.
DOI : 10.1007/s10587-012-0032-7
Classification : 08A35, 08B15, 08B26, 20N02
Mots-clés : simple algebra; idempotent; group
@article{10_1007_s10587_012_0032_7,
     author = {Je\v{z}ek, Jaroslav},
     title = {Definability for equational theories of commutative groupoids},
     journal = {Czechoslovak Mathematical Journal},
     pages = {305--333},
     publisher = {mathdoc},
     volume = {62},
     number = {2},
     year = {2012},
     doi = {10.1007/s10587-012-0032-7},
     mrnumber = {2990179},
     zbl = {1265.08013},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0032-7/}
}
TY  - JOUR
AU  - Ježek, Jaroslav
TI  - Definability for equational theories of commutative groupoids
JO  - Czechoslovak Mathematical Journal
PY  - 2012
SP  - 305
EP  - 333
VL  - 62
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0032-7/
DO  - 10.1007/s10587-012-0032-7
LA  - en
ID  - 10_1007_s10587_012_0032_7
ER  - 
%0 Journal Article
%A Ježek, Jaroslav
%T Definability for equational theories of commutative groupoids
%J Czechoslovak Mathematical Journal
%D 2012
%P 305-333
%V 62
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0032-7/
%R 10.1007/s10587-012-0032-7
%G en
%F 10_1007_s10587_012_0032_7
Ježek, Jaroslav. Definability for equational theories of commutative groupoids. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 2, pp. 305-333. doi : 10.1007/s10587-012-0032-7. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0032-7/

Cité par Sources :