| Title:
|
Cayley color graphs of inverse semigroups and groupoids (English) |
| Author:
|
Sieben, Nándor |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
683-692 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of Cayley color graphs of groups is generalized to inverse semigroups and groupoids. The set of partial automorphisms of the Cayley color graph of an inverse semigroup or a groupoid is isomorphic to the original inverse semigroup or groupoid. The groupoid of color permuting partial automorphisms of the Cayley color graph of a transitive groupoid is isomorphic to the original groupoid. (English) |
| Keyword:
|
Cayley color graph |
| Keyword:
|
inverse semigroup |
| Keyword:
|
groupoid |
| MSC:
|
20B25 |
| MSC:
|
20M18 |
| idZBL:
|
Zbl 1166.20308 |
| idMR:
|
MR2455930 |
| . |
| Date available:
|
2010-07-20T13:58:35Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140413 |
| . |
| Reference:
|
[1] Brown, R.: From groups to groupoids: a brief survey.Bull. London Math. Soc. 19 (1987), 113-134. Zbl 0612.20032, MR 0872125, 10.1112/blms/19.2.113 |
| Reference:
|
[2] Fiol, M. L., Fiol, M. A., Yebra, J. L. A.: When the arc-colored line digraph of a Cayley colored digraph is again a Cayley colored digraph.Ars Combinatoria 34 (1992), 65-73. Zbl 0773.05048, MR 1206550 |
| Reference:
|
[3] Gross, J. L., Tucker, T. W.: Topological graph theory.Wiley Interscience Series in Discrete Mathematics and Optimization (1987). Zbl 0621.05013, MR 0898434 |
| Reference:
|
[4] Muhly, P. S.: CBMS Lecture Notes.Texas Christian University, May (1990). |
| Reference:
|
[5] Petrich, M.: Inverse semigroups.John Wiley & Sons, New York (1984). Zbl 0546.20053, MR 0752899 |
| Reference:
|
[6] Renault, J. N.: A groupoid approach to $C^{*}$-algebras.Lecture Notes in Mathematics, Vol 793, Springer-Verlag, New York (1980). Zbl 0433.46049, MR 0584266 |
| Reference:
|
[7] White, A. T.: Graphs, Groups and Surfaces.North-Holland, Amsterdam (1973). Zbl 0268.05102 |
| . |
