Abstract
Let N(G) denote the near-ring of all continuous selfmaps of a topological group G. In this paper we determine the maximal left ideals of N(G) for certain classes of disconnected groups G.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Berman, G. and Silverman, R. J., ‘Simplicity of near-rings of transformations,’ Proc. Amer. Math. Soc. 10 (1959), 456–459.
Fuchs, P., ‘On function algebras in which every congruence is determined by a filter,’ Institutsbericht Nr. 358, Universität Linz, 1987.
Gillman, L. and Jerison, M., Rings of Continuous Functions, Graduate Texts in Math., Springer-Verlag, New York, Heidelberg, Berlin, 1976.
Hewitt, E., ‘Rings of real-valued continuous functions, I’, Trans. Amer. Math. Soc. 64 (1948), 54–99.
Hofer, R. D., ‘Near-rings of continuous functions on disconnected groups,’ J. Austral. Math. Soc. Ser. A 28 (1979), No. 4, 433–451.
Pilz, G., Near-Rings, Mathematics Studies 23, North-Holland, New York, 1983.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mutter, W. Maximal left ideals in near-rings of continuous functions on disconnected groups. Geom Dedicata 37, 275–285 (1991). https://doi.org/10.1007/BF00181403
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00181403