Geodesic
Maximal inverse subsemigroups of S(X)
Glasgow mathematical journal, Tome 24 (1983) no. 1, pp. 53-64

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

If X is a topological space then S(X) will denote the semigroup, under composition, of all continuous functions from X into X. An element f in a semigroup is regular if there is an element g such that fgf = f. The regular elements of S(X) will be denoted by R(X). Elements f and g are inverses of each other if fgf = f and gfg = g. Every regular element has an inverse [1]. If every element in a semigroup has a unique inverse then the semigroup is an inverse semigroup. In this paper we examine maximal inverse subsemigroups of S(X). 
Baird, Bridget B. Maximal inverse subsemigroups of S(X). Glasgow mathematical journal, Tome 24 (1983) no. 1, pp. 53-64. doi: 10.1017/S001708950000505X
@article{10_1017_S001708950000505X,
     author = {Baird, Bridget B.},
     title = {Maximal inverse subsemigroups of {S(X)}},
     journal = {Glasgow mathematical journal},
     pages = {53--64},
     year = {1983},
     volume = {24},
     number = {1},
     doi = {10.1017/S001708950000505X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950000505X/}
}
TY  - JOUR
AU  - Baird, Bridget B.
TI  - Maximal inverse subsemigroups of S(X)
JO  - Glasgow mathematical journal
PY  - 1983
SP  - 53
EP  - 64
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950000505X/
DO  - 10.1017/S001708950000505X
ID  - 10_1017_S001708950000505X
ER  - 
%0 Journal Article
%A Baird, Bridget B.
%T Maximal inverse subsemigroups of S(X)
%J Glasgow mathematical journal
%D 1983
%P 53-64
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950000505X/
%R 10.1017/S001708950000505X
%F 10_1017_S001708950000505X

[1] 1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Math. Surveys 7, Amer. Math. Soc. (Providence R. I., I (1961), II (1967)). Google Scholar

[2] 2.Hofer, R. D., Restrictive semigroups of continuous selfmaps on arcwise connected spaces. Proc. London Math. Soc. (3) 25 (1972), 358–384. Google Scholar | DOI

[3] 3.Magill, K. D. Jr, and Subbiah, S., Green's relations for regular elements of semigroups of endomorphisms, Canad. J. Math. 26 (1974), 1484–1497. Google Scholar | DOI

[4] 4.Nichols, J. W., A class of maximal inverse subsemigroups of T , Semigroup Forum 13 (1976), 187–188. Google Scholar | DOI

[5] 5.Reilly, N. R., Maximal inverse subsemigroups of T , Semigroup Forum 15 (1978), 319–326. Google Scholar | DOI

[6] 6.Reilly, N. R., Transitive inverse semigroups on compact spaces, Semigroup Forum 8 (1974), 184–187. Google Scholar | DOI

[7] 7.Schein, B. M., A symmetric semigroup of transformations is covered by its inverse subsemigroups, Aero. Math. Acad. Sci. Hungar. 22 (1971), 163–171 (Russian). Google Scholar

Cité par Sources :