2 citations · 3 across the 7 of their papers we have counts for
7 papers
Radicals and Nilpotents in Equivariant Algebra
David Chan, Ben Spitz
Associated to each Tambara functor is its Nakaoka spectrum , analogous to the Zariski spectrum of a commutative ring. We establish that this topological space…
The Formal Context of Saturated Transfer Systems on Finite Abelian Groups
Seth Bernstein, Ben Spitz
We describe the reduced formal context of the lattice of saturated transfer systems on a finite abelian group. As an application, we compute that there are 13,784,538,270,571 satur…
-Mackey functors in Macaulay2
Thomas Brazelton, David Chan, Benjamin Mudrak +5
We introduce the CpMackeyFunctors package for Macaulay2, which allows for computations with Mackey functors over a cyclic group of prime order.
Formal Concept Analysis and Homotopical Combinatorics
Scott Balchin, Ben Spitz
Formal Concept Analysis makes the fundamental observation that any finite lattice is determined up to isomorphism by the restriction of the relation ${\leq} \subseteq L…
The spectrum of the Burnside Tambara functor
Maxine Elena Calle, David Chan, David Mehrle +3
We compute the spectrum of prime ideals in the Burnside Tambara functor over an arbitrary finite group. Our proof uses recent advances in the commutative algebra of Tambara functor…
Algebraically Closed Fields in Equivariant Algebra
Jason Schuchardt, Ben Spitz, Noah Wisdom
Using the Burklund-Schlank-Yuan abstraction of ``algebraically closed" to ``Nullstellensatzian", we show that a -Tambara functor is Nullstellensatzian if and only if it is the c…
On the Tambara Affine Line
David Chan, David Mehrle, J. D. Quigley +2
Tambara functors are the analogue of commutative rings in equivariant algebra. Nakaoka defined ideals in Tambara functors, leading to the definition of the Nakaoka spectrum of prim…