2 citations · 8 across the 28 of their papers we have counts for
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Polarizations and Hook Partitions
Ayah Almousa, Keller VandeBogert
In this paper, we relate combinatorial conditions for polarizations of powers of the graded maximal ideal with rank conditions on submodules generated by collections of Young table…
Products of Ideals and Golod Rings
Keller VandeBogert
In this paper, we study conditions guaranteeing that a product of ideals defines a Golod ring. We show that for a -dimensional regular local ring (or -variable polynomial rin…
On Restricted Powers of Complete Intersections
Keller VandeBogert
A restricted th power of an ideal is obtained by restricting the exponent vectors allowed to appear on the "natural" generating set of , for some integer . In this p…
On Constructions Related to the Generalized Taylor Complex
Keller VandeBogert
In this paper, we extend constructions and results for the Taylor complex to the generalized Taylor complex constructed by Herzog. We construct an explicit DG-algebra structure on…
Iterated Mapping Cones for Strongly Koszul Algebras
Keller VandeBogert
In this paper we extend the well-known iterated mapping cone procedure to monomial ideals in strongly Koszul algebras. We study properties of ideals generated by monomials in commu…
Linear Strands Supported on Regular CW Complexes
Keller VandeBogert
In this paper, we study ideals whose linear strand can be supported on a regular CW complex. We provide a sufficient condition for the linear strand of an arbitrary subideal of…
Linear Strands of Initial Ideals of Determinantal Facet Ideals
Ayah Almousa, Keller VandeBogert
A determinantal facet ideal (DFI) is an ideal generated by maximal minors of a generic matrix parametrized by an associated simplicial complex . In this paper, we construc…