15 citations · 28 across the 8 of their papers we have counts for
8 papers
Polynomial Functors on Pointed Categories
Qimh Richey Xantcha
A classification is provided of functors, in particular polynomial ones, from a category with a zero object in which every object is a finite sum of copies of a generating object,…
Centers of partly (anti-)commutative quiver algebras and finite generation of the Hochschild cohomology ring
Elin Gawell, Qimh Richey Xantcha
A partly (anti-)commutative quiver algebra is a quiver algebra bound by an (anti-)commutativity ideal, that is, a quadratic ideal generated by monomials and (anti-)commutativity re…
Gabriel 2-Quivers for Finitary 2-Categories
Qimh Richey Xantcha
We develop the theory of 2-quivers and quiver 2-categories to run in parallel with the classical theory of quiver algebras. A quiver 2-category is always finitary, and, conversely,…
On Extensions of Polynomial Functors
Qimh Richey Xantcha
A formula for calculating Extensions of (mainly integral) Polynomial Functors is established, based upon projective resolutions. Sample computations are performed, which, in partic…
The Combinatorics of Polynomial Functors
Qimh Richey Xantcha
We propose a new description of Endofunctors of Module Categories, based upon a combinatorial category comprising finite sets and so-called mazes. Polynomial and numerical functors…
Polynomial Functors of Modules
Qimh Richey Xantcha
We introduce the notion of numerical functors to generalise Eilenberg & MacLane's polynomial functors to modules over a binomial base ring. After shewing how these functors are enc…
Polynomial Maps of Modules
Qimh Richey Xantcha
The article focuses on three different notions of polynomiality for maps of modules. In addition to the polynomial maps studied by Eilenberg and Mac Lane and the strict polynomial…
Binomial Rings: Axiomatisation, Transfer and Classification
Qimh Richey Xantcha
Hall's binomial rings, rings with binomial coefficients, are given an axiomatisation and proved identical to the numerical rings studied by Ekedahl. The Binomial Transfer Principle…