International audienceWe show that the real continuous, symmetric, and cancellative n-ary semigroups are topologically order-isomorphic to additive real n-ary semigroups. The binary case (n=2) was originally proved by Aczél (1949); there symmetry was redundant
AbstractWe analyze the structure of nontrivial totally ordered connected topological semigroups (S,+...
AbstractWe survey the results related to the important Hosszú–Gluskin Theorem on n-ary groups adding...
peer reviewedWe investigate monotone idempotent n-ary semigroups and provide a generalization of the...
peer reviewedWe show that the real continuous, symmetric, and cancellative n-ary semigroups are topo...
peer reviewedWe show that the real continuous, symmetric, and cancellative n-ary semigroups are topo...
We show that real continuous, symmetric, and cancellative n-ary semigroups are topologically order-i...
International audienceWe show that every quasitrivial n-ary semigroup is reducible to a binary semig...
Let $X$ be a nonempty set. Denote by $\mathcal{F}^n_k$ the class of associative operations $F\colon ...
We investigate n-ary semigroups as a natural generalization of binary semigroups. We refer it as a p...
We extend the classical (strong) semilattice decomposition scheme of certain classes of semigroups t...
We provide a complete classification of the n-ary semigroup structures defined by polynomial functio...
We extend the classical (strong) semilattice decomposition scheme of certain classes of semigroups t...
peer reviewedWe show that every quasitrivial n-ary semigroup is reducible to a binary semigroup, an...
AbstractZ. Feng and R.W. Heath proved that any separable linearly ordered space (LOTS) which is a ca...
We show that every quasitrivial n-ary semigroup is reducible to a binary semigroup, and we provide n...
AbstractWe analyze the structure of nontrivial totally ordered connected topological semigroups (S,+...
AbstractWe survey the results related to the important Hosszú–Gluskin Theorem on n-ary groups adding...
peer reviewedWe investigate monotone idempotent n-ary semigroups and provide a generalization of the...
peer reviewedWe show that the real continuous, symmetric, and cancellative n-ary semigroups are topo...
peer reviewedWe show that the real continuous, symmetric, and cancellative n-ary semigroups are topo...
We show that real continuous, symmetric, and cancellative n-ary semigroups are topologically order-i...
International audienceWe show that every quasitrivial n-ary semigroup is reducible to a binary semig...
Let $X$ be a nonempty set. Denote by $\mathcal{F}^n_k$ the class of associative operations $F\colon ...
We investigate n-ary semigroups as a natural generalization of binary semigroups. We refer it as a p...
We extend the classical (strong) semilattice decomposition scheme of certain classes of semigroups t...
We provide a complete classification of the n-ary semigroup structures defined by polynomial functio...
We extend the classical (strong) semilattice decomposition scheme of certain classes of semigroups t...
peer reviewedWe show that every quasitrivial n-ary semigroup is reducible to a binary semigroup, an...
AbstractZ. Feng and R.W. Heath proved that any separable linearly ordered space (LOTS) which is a ca...
We show that every quasitrivial n-ary semigroup is reducible to a binary semigroup, and we provide n...
AbstractWe analyze the structure of nontrivial totally ordered connected topological semigroups (S,+...
AbstractWe survey the results related to the important Hosszú–Gluskin Theorem on n-ary groups adding...
peer reviewedWe investigate monotone idempotent n-ary semigroups and provide a generalization of the...