Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Radicals and generalizations of derivations
Authors: Cojuhari Elena, B. J. Gardner
– 0.15 Mb
Abstract
By results of Slin'ko and of Anderson, the locally nilpotent and nil radicals of algebras over a field of characteristic 0 are preserved by derivations. This note deals with radical preservation by various generalizations of derivations.E. P. Cojuhari
Institute of Mathematics and Computer Science
5 Academiei St, MD 2028 Chisinau
Moldova
Department of Mathematics
Technical University of Moldova
168 Stefan cel Mare Blvd, MD 2004 Chisinau
Moldova
E-mail:
B. J. Gardner
Discipline of Mathematics
University of Tasmania PB 37
Hobart TAS 7001, Australia
E-mail:
Institute of Mathematics and Computer Science
5 Academiei St, MD 2028 Chisinau
Moldova
Department of Mathematics
Technical University of Moldova
168 Stefan cel Mare Blvd, MD 2004 Chisinau
Moldova
E-mail:
B. J. Gardner
Discipline of Mathematics
University of Tasmania PB 37
Hobart TAS 7001, Australia
E-mail:
Fulltext
– 0.15 Mb
Contents
- Vladimir A. Andrunachievici (1917 - 1997)
- Early History of the Theory of Rings in Novosibirsk
- Pretorsions in modules and associated closure operators
- Properties of accessible subrings of pseudonormed rings when taking quotient rings
- Radicals and generalizations of derivations
- Some examples of topological modules
- Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring
- On the inverse operations in the class of preradicals of a module category, II
- On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
- The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
