| Title:
|
Finite simple zeropotent paramedial groupoids (English) |
| Author:
|
Cho, Jung R. |
| Author:
|
Kepka, Tomáš |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
41-53 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
groupoid |
| Keyword:
|
simple |
| Keyword:
|
paramedial |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 1003.20055 |
| idMR:
|
MR1885456 |
| . |
| Date available:
|
2009-09-24T10:48:58Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127701 |
| . |
| Reference:
|
[1] J. R. Cho, J. Ježek and T. Kepka: Paramedial groupoids.Czechoslovak Math. J. 49(124) (1999), 277–290. MR 1692473, 10.1023/A:1022448218116 |
| Reference:
|
[2] J. R. Cho, J. Ježek and T. Kepka: Simple paramedial groupoids.Czechoslovak Math. J. 49(124) (1999), 391–399. MR 1692520, 10.1023/A:1022464621750 |
| Reference:
|
[3] R. El Bashir, J. Ježek and T. Kepka: Simple zeropotent paramedial groupoids are balanced.Czechoslovak Math. J. 50(125) (2000), 397–399. MR 1761396, 10.1023/A:1022435321907 |
| Reference:
|
[4] J. Ježek and T. Kepka: Medial groupoids.Rozpravy ČSAV, Řada mat. a přír. věd 93 (1983), 93. MR 0734873 |
| Reference:
|
[5] J. Ježek and T. Kepka: The equational theory of paramedial cancellation groupoids.Czechoslovak Math. J. 50(125) (2000), 25–34. MR 1745455, 10.1023/A:1022476800989 |
| Reference:
|
[6] J. Ježek and T. Kepka: Linear equational theories and semimodule representations.Internat. J. Algebra Comput. 8 (1998), 599–615. MR 1675018, 10.1142/S0218196798000284 |
| Reference:
|
[7] T. Kepka and P. Němec: Simple balanced groupoids.Acta Univ. Palackianae Olomoucensis, Fac. rer. mat., Mathematica 35 (1996), 53–60. MR 1485044 |
| . |
