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On endomorphism rings without nonzero nilpotent elements. I. (English)
Authors: Popa V.
Abstract
In this paper, we study the compact abelian groups and the topological torsion LCA groups which have no nonzero nilpotent continuous endomorphisms.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, MD-2028 Chişinău, Moldova
str. Academiei 5, MD-2028 Chişinău, Moldova
Contents
- On the compatibility of the tangency relations of sets of some classes. (English)
- Diffusion of a flat, cylindrical or sherical impulse in a porous medium. (Russian)
- On the spectrum of some integro-differential operators. (Romanian)
- On the normal form and the reducibility of linear completely integrable systems with quasiperiodic coefficients. (English)
- On endomorphism rings without nonzero nilpotent elements. I. (English)
- On the embeddability of foliations of the Riccati equations. (English)
- Approximate solving of the systems of singular integral equations with weak singularity in the regular part. (Russian)
- Finiteness of the point spectrum of some nonselfadjoint operators close to the operators generated by Jacobi matrices. (English)
- The characteristic submodules determined by pretorsions, torsions and jansian torsions. (English)
- On the stability of Smale, Pareto and Slater optimal solutions in the vector trajectory optimization problems. (Russian)
- About sings of Bol loop translations. (English)
- Lie algebra of operators for comitants of polynomial differential equations. (English)
- Combinatorial results in the theory of multiple antisymetry. (Russian)
- Helly-type theorems on common supports for k-disjoint families of convex bodies in the plane. (English)
- About one modification of Godunov's finite-difference scheme for arbitrary cells. (English)
- The asymptotic expansions for the symmetric hyperbolic system with a small parameter. (English)
- On the absence of singular continuous spectrum for Jacobi matrices. (English)
- A note on the three chains theorem in metric constrained interpolation theory. (English)
- The stability of direct methods for solving normal systems of singular integral equations on smooth closed contours. (English)
- Corrigendum to "Units, idempotents and nilpotents of an endomorphism ring. II" by Valeriu Popa
