Rings of continuous functions. Algebraic aspects
EM Vechtomov - Journal of Mathematical Sciences, 1994 - Springer
This survey paper is devoted to the algebraic theory of rings of continuous functions. The
author considers the relationship between topological spaces and the corresponding rings …
author considers the relationship between topological spaces and the corresponding rings …
Specification of topological spaces by algebraic systems of continuous functions
EM Vechtomov - Journal of Soviet Mathematics, 1991 - Springer
This survey presents results on specification of topological spaces by various algebraic
structures of continuous functions. Results are presented on specification of E-compact …
structures of continuous functions. Results are presented on specification of E-compact …
On countable nondiscrete fields without nontrivial convergent sequences
E Kabanova - Mathematical Notes, 1992 - ibn.idsi.md
In [l] there is given a list of certain open questions in the theory of topological fields. Among
them there is AV Arkhangel'skii's question: is there a countable nondiscrete topological field …
them there is AV Arkhangel'skii's question: is there a countable nondiscrete topological field …
Semisimple classes and lower radicals of topological nonassociative algebras
KI Beidar, ST Glavatskii, AV Mikhalev - Journal of Soviet Mathematics, 1990 - Springer
In this article semisimple classes of topological algebras are characterized in a series of
varieties of rings (in particular, all subvarieties of the varieties of alternative and Jordan …
varieties of rings (in particular, all subvarieties of the varieties of alternative and Jordan …
[引用][C] Distributive rings of continuous functions and F-spaces
EM Vechtomov - Mathematical notes of the Academy of Sciences of the …, 1983 - Springer
The goal of this paper is to prove Theorem i, which contains criteria for rings of continuous
functions to be distributive. This theorem contains some new algebraic and topological …
functions to be distributive. This theorem contains some new algebraic and topological …
[引用][C] On the uniqueness of topologies for some constructions of rings and modules
VI Arnautov, MI Ursul - Siberian Mathematical Journal, 1995 - Springer
It is well known that upon passage from rings to their superrings a topology given on a ring,
even extendible to a corresponding superring, generally extends in a nonunique fashion …
even extendible to a corresponding superring, generally extends in a nonunique fashion …
[引用][C] Rings of continuous functions and their maximal spectra
EM Vechtomov - Mathematical Notes, 1994 - Springer
We investigate general properties of the ring C, related to 9) I. In Sec. 2 we consider
conditions for the space ffJI to be Hausdorff. Moreover, we are concerned with …
conditions for the space ffJI to be Hausdorff. Moreover, we are concerned with …
[引用][C] Simultaneous extension of the topology and pseudonorm of a monoid to its semigroup ring
SA Pyartli - Mathematical Notes, 1993 - Springer
Simultaneous extension of the topology and pseudonorm of a monoid to its semigroup ring Page
1 SIMULTANEOUS EXTENSION OF THE TOPOLOGY AND PSEUDONORM OF A MONOID TO …
1 SIMULTANEOUS EXTENSION OF THE TOPOLOGY AND PSEUDONORM OF A MONOID TO …
[引用][C] Compact groups and their group rings
VI Arnautov, AV Mikhalev - Mathematical notes of the Academy of …, 1989 - Springer
In [1-4] we investigated the possibility of extending the topology of a group and a ring to their
group ring. Those investigations are continued in this article, which is devoted to a solution …
group ring. Those investigations are continued in this article, which is devoted to a solution …