8 citations · 9 across the 13 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.AC2013★ 8 cited
On the graph of divisibility of an integral domain
Jason Greene Boynton, Jim Coykendall
It is well-known that the factorization properties of a domain are reflected in the structure of its group of divisibility. The main theme of this paper is to introduce a topologic…
math.AC2013
Elasticity in polynomial-type extensions
Mark Batell, Jim Coykendall
The elasticity of an atomic integral domain is, in some sense, a measure of how far the domain is from being a unique factorization domain (or, more properly, a half-factorial doma…
math.AC2013
A Homological Approach to Factorization
Jim Coykendall, Brandon Goodell
Mott noted a one-to-one correspondence between saturated multiplicatively closed subsets of a domain D and directed convex subgroups of the group of divisibility D. With this, we c…