Miguel Couceiro

activity

20062024

most citedCharacterizations of idempotent discrete uninorms

31 citations · 317 across the 62 of their papers we have counts for

collaborators

Showing 2019 · math.RAShow all

2 papers · 2 filters

math.RA2019

Reducibility of $n$ -ary semigroups: from quasitriviality towards idempotency

Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal +1

Let $X$ be a nonempty set. Denote by $F_{k}^{n}$ the class of associative operations $F : X^{n} \to X$ satisfying the condition $F (x_{1}, \dots, x_{n}) \in {x_{1}, \dots, x_{n}}$ when…

math.RA2019

Every quasitrivial n-ary semigroup is reducible to a semigroup

Miguel Couceiro, Jimmy Devillet

We show that every quasitrivial n-ary semigroup is reducible to a binary semigroup, and we provide necessary and sufficient conditions for such a reduction to be unique. These resu…

Reducibility of n-ary semigroups: from quasitriviality towards idempotency

Every quasitrivial n-ary semigroup is reducible to a semigroup

Reducibility of $n$ -ary semigroups: from quasitriviality towards idempotency