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The radical theory of convolution rings.
Authors: Stefan Veldsman
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Abstract
Convolution rings have been defined as a unifying approach to a number of ring constructions, e.g. polynomials, matrices, necklace rings and incidence algebras. Here the radical theory of convolution rings will be investigated.Department of Mathematics,
College of Science Sultan Qaboos University,
PO Box 36, Al-Khodh,
PC 123 Sultanate of Oman
E-mail:
College of Science Sultan Qaboos University,
PO Box 36, Al-Khodh,
PC 123 Sultanate of Oman
E-mail:
Fulltext
– 0.21 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).
