Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Radicals around Kothe's problem.
Authors: S. Tumurbat, R. Wiegandt
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Abstract
Radicals gamma will be studied for which the condition A[x] belongs to gamma for all nil rings A is equivalent to the positive solution of Kothe's Problem (A[x] is Jacobson radical for all nil rings A, in Krempa's formulation). The closer gamma is to the Jacobson radical, the better approximation of the positive solution is obtained. Seeking, however, for a negative solution, possibly large radicals gamma are of interest. In this note such large radicals will be studied.S. Tumurbat
Department of Algebra, University of Mongolia
P.O. Box 75, Ulaan Baatar 20, Mongolia
E-mail:
R. Wiegandt A. Renyi
Institute of Mathematics Hungarian Academy of Sciences
P.O. Box 127,
H-1364 Budapest, Hungary
E-mail:
Department of Algebra, University of Mongolia
P.O. Box 75, Ulaan Baatar 20, Mongolia
E-mail:
R. Wiegandt A. Renyi
Institute of Mathematics Hungarian Academy of Sciences
P.O. Box 127,
H-1364 Budapest, Hungary
E-mail:
Fulltext
– 0.13 Mb
Contents
- On overnilpotent radicals of topological rings.
- Semitopological isomorphism of topological groups.
- Special radicals of graded rings.
- Generating properties of biparabolic invertible polynomial maps in three variables.
- Rings over which some preradicals are torsions.
- Transfer properties in radical theory.
- Exponent matrices and their quivers.
- Radicals of rings with involution.
- Radicals around Kothe's problem.
- Wedderburn decomposition of LCM-rings.
- Totally bounded rings and their groups of units.
- The radical theory of convolution rings.
- Artinal special Lie superalgebras.
- The classification of GL(2,R)-orbits' dimensions for system s(0, 2) and the factorsystem s(0, 1,2)/GL(2,R).
