44 citations · 357 across the 57 of their papers we have counts for
67 papers
The Protasov-Zelenyuk topology and ideal convergence
Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno
The so-called -sequences in a group , and the related finest Hausdorff group topology on that makes a null sequence, were introduced…
The Structure of Sequentially Complete Locally Minimal Groups
Dikran Dikranjan, Wei He, Dekui Peng
Generalizing results from \cite{DTk,DU} we study the fine structure of locally minimal (locally) precompact Abelian groups (these are the locally essential subgroups of LCA gro…
Exploring Ultralight Dark Matter Self-Coupling via the Gravitational Wave Background
Pratick Sarkar
Supermassive black hole (SMBH) binary mergers are a primary source of the stochastic gravitational wave background (SGWB) in the nanohertz band, now being actively probed by pulsar…
The algebraic entropy of one-dimensional finitary linear cellular automata
Hasan Akın, Dikran Dikranjan, Anna Giordano Bruno +1
The aim of this paper is to present one-dimensional finitary linear cellular automata on from an algebraic point of view. Among various other results, we: (i) sho…
Ore localization of amenable monoid actions and applications towards entropy addition formulas and the bridge theorem
Dikran Dikranjan, Anna Giordano Bruno, Simone Virili
For a left action of a cancellative right amenable monoid on a discrete Abelian group , we construct its Ore localization $G\overset{λ^*}{\cu…
Countably compact groups having minimal infinite powers
Dikran Dikranjan, Vladimir Uspenskij
We answer the question, raised more than thirty years ago, on whether the power (G raised to the power omega) of a countably compact minimal Abelian group G is minimal, by showing…