Geodesic
Homomorphic images of restrictive star semigroups
Glasgow mathematical journal, Tome 11 (1970) no. 1, pp. 58-71

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

Let Y be a subspace of a topological space X. Then S(X, Y) denotes the semigroup, under composition, of all continuous selfmaps of X which also carry Y into Y. In the special case Y = X, the simpler notation S(X)is used. We have devoted several recent papers ([4], [7] and [8]) to the problem of determining when S(Z) and S(X, Y)are isomorphic and, more generally, when S(Z) is a homomorphic image of S(X, Y). In this paper, we investigate the analogous problem for certain semigroups of functions on spaces which were introduced in [5]. These include semigroups of closed functions which are treated in further detail. 
Jr, Kenneth D. Magill. Homomorphic images of restrictive star semigroups. Glasgow mathematical journal, Tome 11 (1970) no. 1, pp. 58-71. doi: 10.1017/S0017089500000835
@article{10_1017_S0017089500000835,
     author = {Jr, Kenneth D. Magill},
     title = {Homomorphic images of restrictive star semigroups},
     journal = {Glasgow mathematical journal},
     pages = {58--71},
     year = {1970},
     volume = {11},
     number = {1},
     doi = {10.1017/S0017089500000835},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000835/}
}
TY  - JOUR
AU  - Jr, Kenneth D. Magill
TI  - Homomorphic images of restrictive star semigroups
JO  - Glasgow mathematical journal
PY  - 1970
SP  - 58
EP  - 71
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000835/
DO  - 10.1017/S0017089500000835
ID  - 10_1017_S0017089500000835
ER  - 
%0 Journal Article
%A Jr, Kenneth D. Magill
%T Homomorphic images of restrictive star semigroups
%J Glasgow mathematical journal
%D 1970
%P 58-71
%V 11
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000835/
%R 10.1017/S0017089500000835
%F 10_1017_S0017089500000835

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

[2] 2.Kuratowski, C., Topologie II (Warsaw, 1950). Google Scholar

[3] 3.Ljapin, E. S., Semigroups, Amer. Math. Soc. Translations of Mathematical Monographs 3 (Providence, R.I., 1963). Google Scholar

[4] 4.Magill, K. D. Jr, Subsemigroups of S(X), Math. Japon. 11 (1966), 109–115. Google Scholar

[5] 5.Magill, K. D. Jr, Semigroup structures for families of functions, III; R*-semigroups, J. Australian Math. Soc. 14, part 4 (1967), 524–538. Google Scholar

[6] 6.Magill, K. D. Jr, Restrictive semigroups of closed functions, Canad. J. Math., 20 (1968), 1215–1229. Google Scholar

[7] 7.Magill, K. D. Jr, Homomorphic images of certain semigroups of continuous functions, Math. Japon. 13 (1968), 133–141. Google Scholar

[8] 8.Magill, K. D. Jr, Homomorphisms and semigroups of continuous functions, Proc. Topology Conference (Kanpur, India, 10 1968); to appear. Google Scholar

[9] 9.Sierpinski, W., General topology (Toronto, 1952). Google Scholar

Cité par Sources :