On the Intersection Algebra of Principal Ideals
Commutative Algebra
2013-09-23 v2
Abstract
We study the finite generation of the intersection algebra of two principal ideals I and J in a unique factorization domain R. We provide an algorithm that produces a list of generators of this algebra over R. In the special case that R is a polynomial ring, this algorithm has been implemented in the commutative algebra software system Macaulay2. A new class of algebras, called fan algebras, is introduced.
Cite
@article{arxiv.1302.0312,
title = {On the Intersection Algebra of Principal Ideals},
author = {Sara Malec},
journal= {arXiv preprint arXiv:1302.0312},
year = {2013}
}
Comments
Minor changes, to appear in Communications in Algebra