5 papers
Divisor class groups of graded hypersurfaces
Anurag K. Singh, Sandra Spiroff
We demonstrate how some classical computations of divisor class groups can be obtained using the theory of rational coefficient Weil divisors and related results of Watanabe.
Maps on Divisor Class Groups Induced by Ring Homomorphisms of Finite Flat Dimension
Sean Sather-Wagstaff, Sandra Spiroff
Let f: A\to B be a ring homomorphism between Noetherian normal integral domains. We establish a general criterion for f to induce a homomorphism Cl(f): Cl(A)\to Cl(B) on divisor cl…
A zero divisor graph determined by equivalence classes of zero divisors
Sandra Spiroff, Cameron Wickham
We study the zero divisor graph determined by equivalence classes of zero divisors of a commutative Noetherian ring R. We demonstrate how to recover information about R from this s…
An algebraic proof of the commutativity of the intersection with divisors
Paul Roberts, Sandra Spiroff
We present a purely algebraic proof of the commutativity of the operation defined by intersection with divisors on the Chow group of a local Noetherian domain.
Asymptotic growth of powers of ideals
Catalin Ciuperca, Florian Enescu, Sandra Spiroff
Let A be a locally analytically unramified local ring and let J_1,...,J_k,I be ideals in A. If C=C(J_1,...,J_k;I) is the cone generated by the (k+1)-tuples (m_1,...,m_k,n) such tha…