| Title:
|
A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties (English) |
| Author:
|
Kuřil, Martin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
279-299 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved. (English) |
| Keyword:
|
regular semigroup |
| Keyword:
|
inverse semigroup |
| Keyword:
|
e-variety |
| Keyword:
|
biinvariant congruence |
| Keyword:
|
bifree object |
| MSC:
|
08B15 |
| MSC:
|
20M07 |
| MSC:
|
20M17 |
| MSC:
|
20M18 |
| idZBL:
|
Zbl 0913.20037 |
| idMR:
|
MR1601325 |
| . |
| Date available:
|
2008-06-06T21:33:38Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107617 |
| . |
| Reference:
|
[1] Billhardt B.: On a wreath product embedding and idempotent pure congruences on inverse semigroups.Semigroup Forum 45 (1992), 45–54. Zbl 0769.20027, MR 1161418 |
| Reference:
|
[2] Hall T. E.: Congruences and Green’s relations on regular semigroups.Glasgow Math. J. 13 (1972), 167–175. MR 0318356 |
| Reference:
|
[3] Hall T. E.: Identities for existence varieties of regular semigroups.Bull. Austral. Math. Soc. 40 (1989), 59–77. Zbl 0666.20028, MR 1020841 |
| Reference:
|
[4] Howie J. M.: An Introduction to Semigroup Theory.Academic Press, London, 1976. Zbl 0355.20056, MR 0466355 |
| Reference:
|
[5] Kaďourek J., Szendrei M. B.: A new approach in the theory of orthodox semigroups.Semigroup Forum 40 (1990), 257–296. Zbl 0705.20052, MR 1038007 |
| Reference:
|
[6] Kaďourek J., Szendrei M. B.: On existence varieties of $E$-solid semigroups.preprint. Zbl 0931.20049, MR 1847661 |
| Reference:
|
[7] Kuřil M.: A multiplication of e-varieties of orthodox semigroups.Arch. Math. (Brno) 31 (1995), 43–54. Zbl 0836.20084, MR 1342374 |
| . |
