A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties
Archivum mathematicum, Tome 33 (1997) no. 4, pp. 279-299 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 08B15, 20M07, 20M17, 20M18
Keywords: regular semigroup; inverse semigroup; e-variety; biinvariant congruence; bifree object
@article{ARM_1997_33_4_a2,
     author = {Ku\v{r}il, Martin},
     title = {A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties},
     journal = {Archivum mathematicum},
     pages = {279--299},
     year = {1997},
     volume = {33},
     number = {4},
     mrnumber = {1601325},
     zbl = {0913.20037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1997_33_4_a2/}
}
TY  - JOUR
AU  - Kuřil, Martin
TI  - A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties
JO  - Archivum mathematicum
PY  - 1997
SP  - 279
EP  - 299
VL  - 33
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ARM_1997_33_4_a2/
LA  - en
ID  - ARM_1997_33_4_a2
ER  - 
%0 Journal Article
%A Kuřil, Martin
%T A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties
%J Archivum mathematicum
%D 1997
%P 279-299
%V 33
%N 4
%U http://geodesic.mathdoc.fr/item/ARM_1997_33_4_a2/
%G en
%F ARM_1997_33_4_a2
Kuřil, Martin. A multiplication of e-varieties of regular $E$-solid semigroups by inverse semigroup varieties. Archivum mathematicum, Tome 33 (1997) no. 4, pp. 279-299. http://geodesic.mathdoc.fr/item/ARM_1997_33_4_a2/

[1] Billhardt B.: On a wreath product embedding and idempotent pure congruences on inverse semigroups. Semigroup Forum 45 (1992), 45–54. | MR | Zbl

[2] Hall T. E.: Congruences and Green’s relations on regular semigroups. Glasgow Math. J. 13 (1972), 167–175. | MR

[3] Hall T. E.: Identities for existence varieties of regular semigroups. Bull. Austral. Math. Soc. 40 (1989), 59–77. | MR | Zbl

[4] Howie J. M.: An Introduction to Semigroup Theory. Academic Press, London, 1976. | MR | Zbl

[5] Kaďourek J., Szendrei M. B.: A new approach in the theory of orthodox semigroups. Semigroup Forum 40 (1990), 257–296. | MR | Zbl

[6] Kaďourek J., Szendrei M. B.: On existence varieties of $E$-solid semigroups. preprint. | MR | Zbl

[7] Kuřil M.: A multiplication of e-varieties of orthodox semigroups. Arch. Math. (Brno) 31 (1995), 43–54. | MR | Zbl