output
20052025
most citedThe use of ideas of Information Theory for studying "language" and intelligence in ants

44 citations

12 papers

math.RA2025

A New Approach to Defining Cochain Complexes for Dendriform and Pre-Lie Algebras

H. Alhussein

Our constructions provide a systematic way to study cohomology pre-algebraic structures via classical cohomology, simplifying computations and enabling the use of established techn…

math.RA2024★ 1 cited

Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules

Hassan Alhussein, Pavel Kolesnikov, Viktor Lopatkin

In this paper, we find the Hochschild cohomology groups of the universal associative conformal envelope of the Virasoro Lie conformal algebra with respect to associative loc…

math.RA2024★ 1 cited

On the pre-commutative envelopes of commutative algebras

H. Alhussein, P. Kolesnikov

We prove that every nilpotent commutative algebra can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional alg…

math.RA2022

Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules

H. Alhussein, P. Kolesnikov

In this work we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal ass…

math.GR2018★ 3 cited

Spectra of Cayley graphs

Wenbin Guo, Daria V. Lytkina, Victor D. Mazurov +1

Let be a group and its subset such that , where . Then {\it the Cayley graph } is an undirected graph …

cs.NI2015★ 3 cited

An Approach for Self-Adaptive Path Loss Modeling for Accurate Positioning in Underground Environments

Evgeny Osipov, Denis Kleyko, Alexey Shapin

This paper proposes a real-time self-adaptive approach for accurate path loss estimation in underground mines or tunnels based on signal strength measurements from heterogeneous ra…