3 papers
math.AC2019
Some remarks about trunks and morphisms of neural codes
Katie Christensen, Hamid Kulosman
We give intrinsic characterizations of neural rings and homomorphisms between them. Also we introduce the notion of a basic monomial code map and characterize monomial code maps as…
math.AC2018
A new characterization of principal ideal domains
Katie Christensen, Ryan Gipson, Hamid Kulosman
In 2008 N.~Q.~Chinh and P.~H.~Nam characterized principal ideal domains as integral domains that satisfy the follo\-wing two conditions: (i) they are unique factorization domains,…
math.AC2018
Polarization of neural codes
Katie Christensen, Hamid Kulosman
The neural rings and ideals as an algebraic tool for analyzing the intrinsic structure of neural codes were introduced by C.~Curto et al. in 2013. Since then they were investigated…