Transactions of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6850(e) ISSN 0002-9947(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

A semigroup of operators in convexity theory

Author(s): Christer O. Kiselman
Journal: Trans. Amer. Math. Soc. 354 (2002), 2035-2053.
MSC (2000): Primary 20M20, 20M30, 26B25, 52A41, 47H20
Posted: January 8, 2002
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We consider three operators which appear naturally in convexity theory and determine completely the structure of the semigroup generated by them.

RESUMO. Duongrupo de operatoroj en la teorio pri konvekseco. Ni konsideras tri operatorojn kiuj aperas nature en la teorio pri konvekseco kaj plene determinas la strukturon de la duongrupo generita de ili.

References:

[1948]: Birkhoff, Garrett, Lattice Theory. Revised edition. New York: American Mathematical Society. xiii + 283 pp., 1948. MR 10:673a
[1944]: Everett, C. J., Closure operators and Galois theory in lattices. Trans. Amer. Math. Soc. 55, 1944, 514-525. MR 6:36b
[1955]: Hewitt, Edwin, and Zuckerman, Herbert S., Finite dimensional convolution algebras. Acta Math. 93, 1955, 67-119. MR 17:1048h
[1962]: Kuros, A. G., Lekcii po obscej algebre. Moscow: F.M. 396 pp., 1962. MR 25:5097
[1944]: Ore, Oystein, Galois connexions. Trans. Amer. Math. Soc. 55, 1944, 493-513. MR 6:36a


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS