Geodesic
Finite simple zeropotent paramedial groupoids
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 41-53 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The study of paramedial groupoids (with emphasis on the structure of simple paramedial groupoids) was initiated in [1] and continued in [2], [3] and [5]. The aim of the present paper is to give a full description of finite simple zeropotent paramedial groupoids (i.e., of finite simple paramedial groupoids of type (II)—see [2]). A reader is referred to [1], [2], [3] and [7] for notation and various prerequisites.
The study of paramedial groupoids (with emphasis on the structure of simple paramedial groupoids) was initiated in [1] and continued in [2], [3] and [5]. The aim of the present paper is to give a full description of finite simple zeropotent paramedial groupoids (i.e., of finite simple paramedial groupoids of type (II)—see [2]). A reader is referred to [1], [2], [3] and [7] for notation and various prerequisites.
Classification : 20N02
Keywords: groupoid; simple; paramedial 
@article{CMJ_2002_52_1_a5,
     author = {Cho, Jung R. and Kepka, Tom\'a\v{s}},
     title = {Finite simple zeropotent paramedial groupoids},
     journal = {Czechoslovak Mathematical Journal},
     pages = {41--53},
     year = {2002},
     volume = {52},
     number = {1},
     mrnumber = {1885456},
     zbl = {1003.20055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a5/}
}
TY  - JOUR
AU  - Cho, Jung R.
AU  - Kepka, Tomáš
TI  - Finite simple zeropotent paramedial groupoids
JO  - Czechoslovak Mathematical Journal
PY  - 2002
SP  - 41
EP  - 53
VL  - 52
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a5/
LA  - en
ID  - CMJ_2002_52_1_a5
ER  - 
%0 Journal Article
%A Cho, Jung R.
%A Kepka, Tomáš
%T Finite simple zeropotent paramedial groupoids
%J Czechoslovak Mathematical Journal
%D 2002
%P 41-53
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a5/
%G en
%F CMJ_2002_52_1_a5
Cho, Jung R.; Kepka, Tomáš. Finite simple zeropotent paramedial groupoids. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 41-53. http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a5/

[1] J. R. Cho, J. Ježek and T. Kepka: Paramedial groupoids. Czechoslovak Math. J. 49(124) (1999), 277–290. | DOI | MR

[2] J. R. Cho, J. Ježek and T. Kepka: Simple paramedial groupoids. Czechoslovak Math. J. 49(124) (1999), 391–399. | DOI | MR

[3] R. El Bashir, J. Ježek and T. Kepka: Simple zeropotent paramedial groupoids are balanced. Czechoslovak Math. J. 50(125) (2000), 397–399. | DOI | MR

[4] J. Ježek and T. Kepka: Medial groupoids. Rozpravy ČSAV, Řada mat. a přír. věd 93 (1983), 93. | MR

[5] J. Ježek and T. Kepka: The equational theory of paramedial cancellation groupoids. Czechoslovak Math. J. 50(125) (2000), 25–34. | DOI | MR

[6] J. Ježek and T. Kepka: Linear equational theories and semimodule representations. Internat. J. Algebra Comput. 8 (1998), 599–615. | DOI | MR

[7] T. Kepka and P. Němec: Simple balanced groupoids. Acta Univ. Palackianae Olomoucensis, Fac. rer. mat., Mathematica 35 (1996), 53–60. | MR