Nil-orders of commutative nil-bounded semigroups.
Nilsemigroups on trees.
Non-unique factorizations in block semigroups and arithmetical applications
Non-unique factorizations in orders of global fields.
Normal polytopes, triangulations, and Koszul algebras.
Note on finite commutative nil-semigroups
Note on quasi-Hamiltonian semigroups
Note on the congruence lattice of a commutative separative semigroup
Numerical semigroups with a monotonic Apéry set
We study numerical semigroups with the property that if is the multiplicity of and is the least element of congruent with modulo , then . The set of numerical semigroups with this property and fixed multiplicity is bijective with an affine semigroup and consequently it can be described by a finite set of parameters. Invariants like the gender, type, embedding dimension and Frobenius number are computed for several families of this kind of numerical semigroups.