Geodesic
The kernel and trace operators for ideal extensions of regular semigroups
Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 219-231

Voir la notice de l'article provenant de la source Cambridge University Press

Let V be a regular semigroup and an ideal extension of a semigroup S by a semigroup Q Congruences on V can be represented by triples of the form (σ, P, τ), here called admissible, where a is a congruence on S, P is an ideal of Q and τ is a O-restricted congruence on Q/P satisfying certain conditions. We characterize the trace relation T on V in terms of admissible triples. When the extension V of S is strict, for a congruence v on V given in terms of an admissible triple, we characterize vK, vK, vT and vT again in terms of admissible triples. 
Petrich, Mario. The kernel and trace operators for ideal extensions of regular semigroups. Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 219-231. doi: 10.1017/S0017089500030767
@article{10_1017_S0017089500030767,
     author = {Petrich, Mario},
     title = {The kernel and trace operators for ideal extensions of regular semigroups},
     journal = {Glasgow mathematical journal},
     pages = {219--231},
     year = {1994},
     volume = {36},
     number = {2},
     doi = {10.1017/S0017089500030767},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030767/}
}
TY  - JOUR
AU  - Petrich, Mario
TI  - The kernel and trace operators for ideal extensions of regular semigroups
JO  - Glasgow mathematical journal
PY  - 1994
SP  - 219
EP  - 231
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030767/
DO  - 10.1017/S0017089500030767
ID  - 10_1017_S0017089500030767
ER  - 
%0 Journal Article
%A Petrich, Mario
%T The kernel and trace operators for ideal extensions of regular semigroups
%J Glasgow mathematical journal
%D 1994
%P 219-231
%V 36
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030767/
%R 10.1017/S0017089500030767
%F 10_1017_S0017089500030767

[1] 1.Howie, J. M., An introduction to semigroup theory (Academic Press, 1976). Google Scholar

[2] 2.Pastijn, F. and Petrich, M., Congruences on regular semigroups, Trans. Amer. Math. Soc. 295 (1986), 607–633. Google Scholar

[3] 3.Petrich, M., Congruences on extensions of semigroups, Duke Math. J. 34 (1967), 215–224. Google Scholar

[4] 4.Petrich, M., The congruence lattice of an ideal extension of semigroups, Glasgow Math. J. 35 (1993), 39–50. Google Scholar | DOI

Cité par Sources :