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26 papers · 1 filter
Notes on Cohomologies of Ternary Algebras of Associative Type
H. Ataguema, A. Makhlouf
The aim of this paper is to investigate the cohomologies for ternary algebras of associative type. We study in particular the cases of partially associative ternary algebras and we…
Generalization of n-ary Nambu algebras and beyond
H. Ataguema, A. Makhlouf, S. Silvestrov
The aim of this paper is to introduce -ary Hom-algebra structures generalizing the -ary algebras of Lie type enclosing -ary Nambu algebras, -ary Nambu-Lie algebras, …
Performance of the First ANTARES Detector Line
ANTARES collaboration, M. Ageron
In this paper we report on the data recorded with the first Antares detector line. The line was deployed on the 14th of February 2006 and was connected to the readout two weeks lat…
Automorphism invariance and identities
Evgenii I. Khukhro, Anton A. Klyachko, Natalia Yu. Makarenko +1
If an outer (multilinear) commutator identity holds in a large subgroup of a group, then it holds also in a large characteristic subgroup. Similar assertions are valid for algebras…
Hom-Algebras and Hom-Coalgebras
Abdenacer Makhlouf, Sergei Silvestrov
The aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras i…
Bialgebra structures of 2-associative algebras
Khadra Dekkar, Abdenacer Makhlouf
This work is devoted to study new bialgebra structures related to 2-associative algebras. A 2-associative algebra is a vector space equipped with two associative multiplications. W…