Automorphisms of normal partial transformation semigroups
Glasgow mathematical journal, Tome 29 (1987) no. 2, pp. 149-157

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

We let X be an arbitrary infinite set. A semigroup S of total or partial transformations of X is called -normal if hSh-1 = S, for all h in , the symmetric group on X. For example, the full transformation semigroup , the semigroup of all partial transformations , the semigroup of all 1–1 partial transformations and all ideals of and are -normal.
Levi, Inessa. Automorphisms of normal partial transformation semigroups. Glasgow mathematical journal, Tome 29 (1987) no. 2, pp. 149-157. doi: 10.1017/S0017089500006790
@article{10_1017_S0017089500006790,
     author = {Levi, Inessa},
     title = {Automorphisms of normal partial transformation semigroups},
     journal = {Glasgow mathematical journal},
     pages = {149--157},
     year = {1987},
     volume = {29},
     number = {2},
     doi = {10.1017/S0017089500006790},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006790/}
}
TY  - JOUR
AU  - Levi, Inessa
TI  - Automorphisms of normal partial transformation semigroups
JO  - Glasgow mathematical journal
PY  - 1987
SP  - 149
EP  - 157
VL  - 29
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006790/
DO  - 10.1017/S0017089500006790
ID  - 10_1017_S0017089500006790
ER  - 
%0 Journal Article
%A Levi, Inessa
%T Automorphisms of normal partial transformation semigroups
%J Glasgow mathematical journal
%D 1987
%P 149-157
%V 29
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500006790/
%R 10.1017/S0017089500006790
%F 10_1017_S0017089500006790

[1] 1. Gluskin, L. M., Ideals of semigroups of transformations, Mat. Sb. (N.S.) 47 (89) (1959), 111–130. Google Scholar

[2] 2. Levi, I., Schein, B. M., Sullivan, R. P. and Wood, G. R., Automorphisms of Baer-Levi semigroups, J. London Math. Soc. (2) 28 (1983), 492–495. Google Scholar | DOI

[3] 3. Levi, I., Automorphisms of normal transformation semigroups, Proc. Edinburgh Math. Soc., to appear. Google Scholar

[4] 4. Liber, A. E., On symmetric generalized groups, Mat. Sb. (N.S.) 33 (75) (1953), 531–544. Google Scholar

[5] 5. Mal'cev, A. I., Symmetric groupoids, Mat. Sb. (N.S.) 31 (73) (1952), 136–151, translated in Amer. Math. Soc. Transl. 113 (1979), 235–250. Google Scholar

[6] 6. Schein, B. M., Symmetric semigroups of one-to-one transformations, Second all-union symposium on the theory of semigroups, Summaries of Talks (Sverdlovsk, 1979), 99. Google Scholar

[7] 7. Schein, B. M., Symmetric semigroups of transformations, Abstracts Amer. Math. Soc. 5 (1980), 476. Google Scholar

[8] 8. Shutov, E. G., On semigroups of almost identical mappings, Dokl. Akad. Nauk SSSR 134 (1960), 292–295. Google Scholar

[9] 9. Shutov, E. G., Homomorphisms of the semigroup of all partial transformations, Izv. Vysš. Učebn. Zaved. Matematika, 1961, no. 3 (22), 177–184. Google Scholar

[10] 10. Schreier, J., Uber Abbildungen einer abstrakten Menge auf ihre Teilmengen, Fund. Math. 28 (1937), 261–264. Google Scholar | DOI

[11] 11. Sullivan, R. P., Automorphisms of transformation semigroups, J. Austral. Math. Soc. Ser. A. 20 (1975), 77–84. Google Scholar | DOI

Cité par Sources :