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Transfer properties in radical theory.
Authors: B.J. Gardner
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Abstract
A functor is said to reflect radical classes if under this functor the inverse image of a radical class is always a radical class.Prototypical examples of such functors include polynomial and matrix functors and various forgetful functors.This paper is for the most part a survey of known results concerning radical reflections,but there are a few new results,including a generalization to right alternative rings of a well known result of Andrunakievici on upper radicals of simple associative rings.Discipline of Mathematics University of Tasmania
Private Bag 37,
Hobart Tas. 7001, Australia
E-mail:
Private Bag 37,
Hobart Tas. 7001, Australia
E-mail:
Fulltext
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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).
