RO EN
A property of the rings of endomorphisms. (Romanian)
Authors: Ursul M. I.
Abstract
A criterion of boundedness for subsets of the ring of endomorphisms of a vector space over an arbitrary field is given. In the case of a finite field the bounded subsets are exactly subsets with a compact closure. The topology of a ring of endomorphisms of a vector space over a finite (arbitrary) skew field is minimal ( minimal in the class of left bounded ring topologies).Institutul de Matematica Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău MD-2028, Moldova
str. Academiei 5, Chişinău MD-2028, Moldova
Contents
- An algorithm for forming the Poincare cycle. (Russian)
- A property of the rings of endomorphisms. (Romanian)
- On solution of problems of integer programming. (Russian)
- Rates of queue length convergence for priority queues with orientation. (English)
- On the commutator of two operators in sandwiches. (Russian)
- Idempotents and the radical with respect to a right ideal. (Russian)
- Independence and nilpotency in algebras. (Russian)
- On isomorphisms of free topological groups, rings and modules generated by topological spaces. (Russian)
- Modeling of self-dual Boolean functions commuting with 1 in a 3-valued extension of provability-intuitionistic logic. (Russian)
- $L\sb 2$ estimates for singularly perturbed onedimensional hyperbolic equations of high order. (English)
- On the group of motions of the four-dimensional hyperbolic space of a $120$-hedron. (Russian)
