Search Results - "Dikranjan, D."

Epimorphisms and closure operators of categories of semilattices by Dikranjan, D., Giordano Bruno, A., Zava, N.

“…Motivated by a problem posed in [10], we investigate the closure operators of the category SLatt of join semilattices and its subcategory SLatt O of join…”
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Some applications of algebraic entropy to the proof of Milnor-Wolf theorem by Xi, W., Dikranjan, D., Freni, D., Toller, D.

“…We discuss the growth function of a finitely generated cascade and its connection to the growth function of its related semi-direct product (Conjecture 1.9)…”
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On zero-dimensionality and the connected component of locally pseudocompact groups by DIKRANJAN, D., LUKÁCS, GÁBOR

“…locally pseudocompact if it contains a non-empty open set with pseudocompact closure. In this paper, we prove that if G is locally pseudocompact, then G_0, and…”
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Countable Powers of Compact Abelian Groups in the Uniform Topology and Cardinality of Their Dual Groups by Dikranjan, D., Martin-Peinador, E., Tarieladze, V.

“…For a topological Abelian group X , we consider in the group X ℕ the uniform topology and study some properties of the obtained topological group. In…”
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“Varopoulos paradigm”: Mackey property versus metrizability in topological groups by Außenhofer, L., de la Barrera Mayoral, D., Dikranjan, D., Martín-Peinador, E.

“…The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is…”
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Factorizable subgroups of the circle group by Barbieri, G., Dikranjan, D., Giordano Bruno, A., Weber, H.

“…A subgroup H of the circle group T is said to be a-characterized if there exists a strictly increasing sequence of positive integers (un)n∈N0, with un|un+1 for…”
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Ken and the Bohr topology by Dikranjan, D.

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The Mackey topology problem: A complete solution for bounded groups by Außenhofer, L., Dikranjan, D.

“…We show that the Mackey topologies exist in the class LIN2 of linearly topologized Hausdorff groups and we give a complete description of these topologies in…”
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Topological groups with thin generating sets by Dikranjan, D., Tkačenko, M., Tkachuk, V.

“…A discrete subset S of a topological group G with identity 1 is called suitable for G if S generates a dense subgroup of G and S ∪ {1} is closed in G. We study…”
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The Markov and Zariski topologies of some linear groups by Dikranjan, D., Toller, D.

“…We study the Zariski topology ZG, the Markov topology MG and the precompact Markov topology PG of an infinite group G, introduced in Dikranjan and Shakhmatov…”
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Some topological groups with and some without suitable sets by Dikranjan, D., Tkačenko, M., Tkachuk, V.

“…If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and S∪{1} is closed in G, then S is called a suitable set for…”
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Endomorphisms of abelian groups with small algebraic entropy by Dikranjan, D., Gong, K., Zanardo, P.

“…We study the endomorphisms ϕ of abelian groups G having a “small” algebraic entropy h (where “small” usually means h(ϕ)<log2). Using essentially elementary…”
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On characterized subgroups of compact abelian groups by Dikranjan, D., Gabriyelyan, S.S.

“…Let X be a compact abelian group. A subgroup H of X is called characterized if there exists a sequence u=(un) of characters of X such that H=su(X), where…”
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Fully inert subgroups of free Abelian groups by Dikranjan, D., Salce, L., Zanardo, P.

“…A subgroup H of an Abelian group G is called fully inert if ( ϕ H + H ) / H is finite for every ϕ ∈ End ( G ) . Fully inert subgroups of free Abelian groups…”
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Characterizing sequences for precompact group topologies by Dikranjan, D., Gabriyelyan, S.S., Tarieladze, V.

“…Motivated from [31], call a precompact group topology τ on an abelian group G ss-precompact (abbreviated from single sequence precompact) if there is a…”
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Counting maximal topologies on countable groups and rings by Dikranjan, D., Protasov, Igor

“…Two non-discrete Hausdorff group topologies τ 1 , τ 2 on a group G are called transversal if the least upper bound τ 1 ∨ τ 2 of τ 1 and τ 2 is the discrete…”
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On the quasi-component of pseudocompact abelian groups by Dikranjan, D., Lukács, Gábor

“…In this paper, we describe the relationship between the quasi-component q(G) of a (perfectly) minimal pseudocompact abelian group G and the quasi-component…”
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Epis in categories of convergence spaces by Dikranjan, D., Giuli, E.

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Torsion theories and radicals in normal categories by Clementino, M.M., Dikranjan, D., Tholen, W.

“…We introduce a relativized notion of (semi)normalcy for categories that come equipped with a proper stable factorization system, and we use radicals (in the…”
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Locally compact abelian groups admitting non-trivial quasi-convex null sequences by Dikranjan, D., Lukács, Gábor

“…In this paper, we show that, for every locally compact abelian group G , the following statements are equivalent: (i) G contains no sequence { x n } n = 0 ∞…”
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