Problems on compact emilattices.
Products of protopological groups.
Rationals with exotic convergences. II.
Rechtsdibrutive Quasigruppen auf 1-Mannigfaltigkeiten.
Reguläre idempotente Multiplikationen.
Relative Act Ideals
Semi-Topological Groups and Linear Spaces.
Set-set topologies and semitopological groups.
Some results on compact convergence semigroups defined by filters.
Strict completions of -groups
Subgroups of Hilbert spaces.
Swelling actions of ...-compact semigroups.
The equivariant universality and couniversality of the Cantor cube
Let ⟨G,X,α⟩ be a G-space, where G is a non-Archimedean (having a local base at the identity consisting of open subgroups) and second countable topological group, and X is a zero-dimensional compact metrizable space. Let be the natural (evaluation) action of the full group of autohomeomorphisms of the Cantor cube. Then (1) there exists a topological group embedding ; (2) there exists an embedding , equivariant with respect to φ, such that ψ(X) is an equivariant retract of with respect to φ...
The -theory of profinite abelian groups
Topological aspects of infinitude of primes in arithmetic progressions
We investigate properties of coset topologies on commutative domains with an identity, in particular, the 𝓢-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher and Porubský (1997), and correct some results from that paper. Then we determine cluster...
Über die Funktionalgleichung f(f(x) * f(y)) = f(x*y).
Über die Funktionalgleichung f(f(x)*f(y)) = f(x*y). (Short Communication).
Алгебраические кольца с компактной топологией.
Конечные группы автоморфизмов топологических групп.
О связных и вполне несвязных квазигруппах и лупах