173 citations · 557 across the 30 of their papers we have counts for
31 papers
Irreducible Polyadic Semigroups Admitting the Adjunction of a Neutral Element
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
It was claimed in [4] that for any integer , a neutral element can be adjoined to an -ary semigroup if and only if the -ary semigroup is reducible to a binary s…
On digital sequences associated with Pascal's triangle
Pierre Mathonet, Michel Rigo, Manon Stipulanti +1
We consider the sequence of integers whose th term has base- expansion given by the th row of Pascal's triangle modulo (where is a prime number). We first present…
On the structure of symmetric -ary bands
Jimmy Devillet, Pierre Mathonet
We study the class of symmetric -ary bands. These are -ary semigroups such that is invariant under the action of permutations and idempotent, i.e., satisfies $F(x…
Reducibility of -ary semigroups: from quasitriviality towards idempotency
Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal +1
Let be a nonempty set. Denote by the class of associative operations satisfying the condition when…
Quantum fidelity of symmetric multipartite states
Antoine Neven, Pierre Mathonet, Otfried Gühne +1
For two symmetric quantum states one may be interested in maximizing the overlap under local operations applied to one of them. The question arises whether the maximal overlap can…
A classification of polynomial functions satisfying the Jacobi identity over integral domains
Jean-Luc Marichal, Pierre Mathonet
The Jacobi identity is one of the properties that are used to define the concept of Lie algebra and in this context is closely related to associativity. In this paper we provide a…