Geodesic
Congruences and Green's relations on regular semigroups
Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 167-175

Voir la notice de l'article provenant de la source Cambridge University Press

It is sometimes possible to reconstruct semigroups from some of their homomorphic images. Some recent examples have been the construction of bisimple inverse semigroups from fundamental bisimple inverse semigroups [9], and the construction of generalized inverse semigroups from inverse semigroups [12]. 
Hall, T. E. Congruences and Green's relations on regular semigroups. Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 167-175. doi: 10.1017/S0017089500001610
@article{10_1017_S0017089500001610,
     author = {Hall, T. E.},
     title = {Congruences and {Green's} relations on regular semigroups},
     journal = {Glasgow mathematical journal},
     pages = {167--175},
     year = {1972},
     volume = {13},
     number = {2},
     doi = {10.1017/S0017089500001610},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001610/}
}
TY  - JOUR
AU  - Hall, T. E.
TI  - Congruences and Green's relations on regular semigroups
JO  - Glasgow mathematical journal
PY  - 1972
SP  - 167
EP  - 175
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001610/
DO  - 10.1017/S0017089500001610
ID  - 10_1017_S0017089500001610
ER  - 
%0 Journal Article
%A Hall, T. E.
%T Congruences and Green's relations on regular semigroups
%J Glasgow mathematical journal
%D 1972
%P 167-175
%V 13
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001610/
%R 10.1017/S0017089500001610
%F 10_1017_S0017089500001610

[1] 1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Amer. Math. Soc., Mathematical Surveys No. 7, Vols. I and II (Providence, R. I., 1961 and 1967). Google Scholar

[2] 2.Hall, T. E., On the lattice of congruences on a regular semigroup, Bull. Australian Math. Soc. 1 (1969), 231–235. Google Scholar | DOI

[3] 3.Hall, T. E., On regular semigroups, J. Algebra; to appear. Google Scholar

[4] 4.Howie, J. M. and Lallement, G., Certain fundamental congruences on a regular semigroup, Proc. Glasgow Math. Assoc. 7 (1966), 145–159. Google Scholar | DOI

[5] 5.Rhodes, J., Some results on finite semigroups, J. Algebra 4 (1966), 471–504. Google Scholar | DOI

[6] 6.Lallement, G., Congruences et équivalences de Green sur un demi-groupe régulier, C. R. Acad. Sc. Paris, Série A, 262 (1966), 613–616. Google Scholar

[7] 7.Munn, W. D., Regular w-semigroups, Glasgow Math. J. 9 (1968), 46–66. Google Scholar | DOI

[8] 8.Munn, W. D., On simple inverse semigroups, Semigroup Forum 1 (1970), 63–74. Google Scholar | DOI

[9] 9.Munn, W. D., 0-bisimple inverse semigroups, J. Algebra 15 (1970), 570–588. Google Scholar | DOI

[10] 10.Preston, G. B., Matrix representations of inverse semigroups, J. Australian Math. Soc. 9 (1969), 29–61. Google Scholar | DOI

[11] 11.Reilly, N. R. and Scheiblich, H. E., Congruences on regular semigroups, Pacific J. Math. 23 (1967), 349–360. Google Scholar | DOI

[12] 12.Yamada, M., Regular semigroups whose idempotents satisfy permutation identities, Pacific J. Math. 21 (1967), 371–392. Google Scholar | DOI

Cité par Sources :