4 papers
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…
Asymptotic depth of invariant chains of edge ideals
Tran Quang Hoa, Do Trong Hoang, Dinh Van Le +2
We completely determine the asymptotic depth, equivalently, the asymptotic projective dimension of a chain of edge ideals that is invariant under the action of the monoid Inc of in…