Geodesic
A multiplication of $e$-varieties of orthodox semigroups
Archivum mathematicum, Tome 31 (1995) no. 1, pp. 43-54

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
We define semantically a partial multiplication on the lattice of all e–varieties of regular semigroups. In the case that the first factor is an e–variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.
We define semantically a partial multiplication on the lattice of all e–varieties of regular semigroups. In the case that the first factor is an e–variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.
Classification : 08B15, 20M07, 20M19
Keywords: regular semigroup; orthodox semigroup; inverse semigroup; e–variety; biinvariant congruence 
Kuřil, Martin. A multiplication of $e$-varieties of orthodox semigroups. Archivum mathematicum, Tome 31 (1995) no. 1, pp. 43-54. http://geodesic.mathdoc.fr/item/ARM_1995_31_1_a4/
@article{ARM_1995_31_1_a4,
     author = {Ku\v{r}il, Martin},
     title = {A multiplication of $e$-varieties of orthodox semigroups},
     journal = {Archivum mathematicum},
     pages = {43--54},
     year = {1995},
     volume = {31},
     number = {1},
     mrnumber = {1342374},
     zbl = {0836.20084},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995_31_1_a4/}
}
TY  - JOUR
AU  - Kuřil, Martin
TI  - A multiplication of $e$-varieties of orthodox semigroups
JO  - Archivum mathematicum
PY  - 1995
SP  - 43
EP  - 54
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_1995_31_1_a4/
LA  - en
ID  - ARM_1995_31_1_a4
ER  - 
%0 Journal Article
%A Kuřil, Martin
%T A multiplication of $e$-varieties of orthodox semigroups
%J Archivum mathematicum
%D 1995
%P 43-54
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_1995_31_1_a4/
%G en
%F ARM_1995_31_1_a4

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

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

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

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

[5] Pol k, L.: A multiplication on the lattice of varieties of $*$-regular semigroups. to appear in Proceedings of Luino International Conference on Semigroups.