A semigroup of operators in convexity theory
HTML articles powered by AMS MathViewer
- by Christer O. Kiselman PDF
- Trans. Amer. Math. Soc. 354 (2002), 2035-2053 Request permission
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
- Morgan Ward, Ring homomorphisms which are also lattice homomorphisms, Amer. J. Math. 61 (1939), 783–787. MR 10, DOI 10.2307/2371336
- Albert Eagle, Series for all the roots of the equation $(z-a)^m=k(z-b)^n$, Amer. Math. Monthly 46 (1939), 425–428. MR 6, DOI 10.2307/2303037
- Saunders MacLane, Steinitz field towers for modular fields, Trans. Amer. Math. Soc. 46 (1939), 23–45. MR 17, DOI 10.1090/S0002-9947-1939-0000017-3
- A. G. Kuroš, Lektsii po obshcheĭ algebre, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1962 (Russian). MR 0141700
- Albert Eagle, Series for all the roots of the equation $(z-a)^m=k(z-b)^n$, Amer. Math. Monthly 46 (1939), 425–428. MR 6, DOI 10.2307/2303037
Additional Information
- Christer O. Kiselman
- Affiliation: Department of Mathematics, Uppsala University, P. O. Box 480, SE-751 06 Uppsala, Sweden
- Email: kiselman@math.uu.se
- Received by editor(s): March 21, 2001
- Received by editor(s) in revised form: July 8, 2001
- Published electronically: January 8, 2002
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 2035-2053
- MSC (2000): Primary 20M20, 20M30, 26B25, 52A41, 47H20
- DOI: https://doi.org/10.1090/S0002-9947-02-02915-X
- MathSciNet review: 1881029