4 papers · 1 filter
Invariant chains of graphs
Do Trong Hoang, Mitra Koley, Dinh Van Le
We initiate a systematic study of Inc-invariant chains of graphs, the combinatorial counterparts of Inc-invariant chains of edge ideals arising in the theory of equivariant Noether…
Duality of monoids up to symmetry
Dinh Van Le, Tim Römer, Nguyen Thi Vien
We study duality for monoids in an infinite-dimensional setting that are invariant under the action of the infinite symmetric group Sym. Our main result is an equivariant Minkowski…
On monoids up to symmetry
Dinh Van Le, Tim Römer, Nguyen Thi Vien
We study monoids in an infinite-dimensional setting that are invariant under the action of the infinite symmetric group Sym. Our main result establishes a local--global principle c…
Equivariant lattice bases
Dinh Van Le, Tim Römer
We study lattices in free abelian groups of infinite rank that are invariant under the action of the infinite symmetric group, with emphasis on finiteness of their equivariant base…