| Title:
|
Notes on semimedial semigroups (English) |
| Author:
|
Abdullahu, Fitore |
| Author:
|
Zejnullahu, Abdullah |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
321-324 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups. (English) |
| Keyword:
|
semimedial semigroups |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 1203.20053 |
| idMR:
|
MR2573407 |
| . |
| Date available:
|
2009-09-23T21:34:09Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134906 |
| . |
| Reference:
|
[1] Chrislock J.L.: On medial semigroups.J. Algebra, 12 (1969), 1--9. Zbl 0187.29102, MR 0237685, 10.1016/0021-8693(69)90013-1 |
| Reference:
|
[2] Ježek J., Kepka T.: Selfdistributive groupoids. Part D1: Left distributive semigroups.Acta. Univ. Carolin. Math. Phys. 47 (2006), no. 1, 15--56. MR 2509894 |
| Reference:
|
[3] Ježek J., Kepka T., Němec P.: Distributivite groupoids.Rozpravy ČSAV 91 (1981), no. 3. MR 0672563 |
| Reference:
|
[4] Kepka T.: Structure of triabelian quasigroups.Comment. Math. Univ. Carolin. 17 (1976), 229--240. Zbl 0338.20097, MR 0407182 |
| Reference:
|
[5] Kepka T.: Notes on left-distributive groupoids.Acta Univ. Carolin. Math. Phys. 22 (1981), no. 2, 23--37. Zbl 0517.20048, MR 0654379 |
| Reference:
|
[6] Kepka T., Zejnullahu A.: Finitely generated left distributive semigroups.Acta. Univ. Carolin. Math. Phys. 30 (1989), no. 1, 33--36. Zbl 0705.20056, MR 1046074 |
| Reference:
|
[7] Markovski S.: On ditributive semigroups.Mat. Fak. Univ. Kiril Metodij Skopje Godišen Zb. 30 (1979), 15--27. MR 0657529 |
| Reference:
|
[8] Nagy A.: Band decomposition of weakly exponential semigroups.Semigroup Forum 28 (1984), 303--321. Zbl 0527.20047, MR 0729670, 10.1007/BF02572491 |
| Reference:
|
[9] Petrich M.: Structure des demi-groupes at anneaux distributive.C.R. Acad. Sci. Paris Sér. A-B 268 (1969), A849--A852. MR 0242976 |
| Reference:
|
[10] Putcha M.S.: Semilatice decompositions of semigroups.Semigroup Forum 6 (1973), 12--34. MR 0369582, 10.1007/BF02389104 |
| Reference:
|
[11] Zejnullahu A.: Medial semigroups and their generalization.Dissertation, University of Prishtina, Prishtina, 1989. |
| Reference:
|
[12] Zejnullahu A.: Splitting left distributive semigroups.Acta. Univ. Carolin. Math. Phys. 30 (1989), no. 1, 23--27. Zbl 0705.20054, MR 1046072 |
| Reference:
|
[13] Zejnullahu A.: Free left distributive semigroups.Acta. Univ. Carolin. Math. Phys. 30 (1989), no. 1, 29--32. Zbl 0705.20055, MR 1046073 |
| . |
