| Title:
|
On permutability in semigroup varieties (English) |
| Author:
|
Pondělíček, Bedřich |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
396-400 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular $*$-semigroups are described in which each semigroup with two generators is permutable. (English) |
| Keyword:
|
congruence permutable semigroups |
| Keyword:
|
varieties of semigroups |
| Keyword:
|
varieties of regular $*$-semigroups |
| Keyword:
|
generators |
| MSC:
|
08A30 |
| MSC:
|
08B10 |
| MSC:
|
20M07 |
| MSC:
|
20M17 |
| idZBL:
|
Zbl 0746.20034 |
| idMR:
|
MR1146398 |
| DOI:
|
10.21136/MB.1991.126027 |
| . |
| Date available:
|
2009-09-24T20:47:50Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126027 |
| . |
| Reference:
|
[1] Chajda I.: A Note on permutability in vaгieties.Časopis pěst. matem. 115 (1990), 85-91. MR 1044018 |
| Reference:
|
[2] Pondělíček B.: Tolerance modular varieties of semigгoups.Czech. Math. J. 40 (115) (1990), 441-452. MR 1065023 |
| Reference:
|
[3] Hamilton H.: Permutability of congruences on commutative semigгoups.Semigгoup Foгum 10 (1975), 55-66. MR 0387455 |
| Reference:
|
[4] Nordahl T. E., Scheiblich H. E.: Regular *-semigroups.Semigгoup Forum 16 (1978), 369-377. MR 0507171, 10.1007/BF02194636 |
| Reference:
|
[5] Pondělíček B.: On vaгieties of regular *-semigгoups.Czech. Math. J. 41 (116) (1991), 110-119. MR 1087630 |
| Reference:
|
[б] Chajda I.: Toleгance trivial algebгas and varieties.Acta Sci. Math. (Szeged) 46 (1983), 35-40. MR 0739020 |
| Reference:
|
[7] Jónsson B.: On the representation of lattices.Math. Scand. 1 (1953), 193-206. MR 0058567, 10.7146/math.scand.a-10377 |
| Reference:
|
[8] Jónsson B.: Modular lattices and Desargues' theorem.Math. Scand 2 (1954), 295-314. Zbl 0056.38403, MR 0067859 |
| . |
