Geodesic
The Rees Congruence in Universal Algebras
Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 229 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In the famous semigroup-theoretical paper of D. Rees (1940) the author introduced a special congruence for semigroups and proved some fundamental isomorphism theorems. We generalize the ideas of Rees to universal algebras and introduce the notion of Rees congruence in a universal algebra. We prove an isomorphism theorem and apply it to study the notion of Rees series in universal algebras; this is a generalization of the notion of normal series in group theory. Further we study the structure of the set of all Rees congrunces and in the last part of the paper we present some applications of this theory to algebras of polynomial functions.
Classification : 08A25 
@article{PIM_1981_N_S_29_43_a25,
     author = {Robert F. Tichy},
     title = {The {Rees} {Congruence} in {Universal} {Algebras}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {229 },
     year = {1981},
     volume = {_N_S_29},
     number = {43},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a25/}
}
TY  - JOUR
AU  - Robert F. Tichy
TI  - The Rees Congruence in Universal Algebras
JO  - Publications de l'Institut Mathématique
PY  - 1981
SP  - 229 
VL  - _N_S_29
IS  - 43
UR  - http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a25/
LA  - en
ID  - PIM_1981_N_S_29_43_a25
ER  - 
%0 Journal Article
%A Robert F. Tichy
%T The Rees Congruence in Universal Algebras
%J Publications de l'Institut Mathématique
%D 1981
%P 229 
%V _N_S_29
%N 43
%U http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a25/
%G en
%F PIM_1981_N_S_29_43_a25
Robert F. Tichy. The Rees Congruence in Universal Algebras. Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 229 . http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a25/