Intersection algebras for principal monomial ideals in polynomial rings-Reference-Cited by-同舟云学术

Intersection algebras for principal monomial ideals in polynomial rings

Published:2015-04-24 Issue:07 Volume:14 Page:1550108
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Enescu Florian¹,Malec Sara²

Affiliation:

1. Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA

2. Department of Mathematics, University of the Pacific, 3601 Pacific Avenue, Stockton, CA 95211, USA

Abstract

The properties of the intersection algebra of two principal monomial ideals in a polynomial ring are investigated in detail. Results are obtained regarding the Hilbert series and the canonical ideal of the intersection algebra using methods from the theory of Diophantine linear equations with integer coefficients.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881550108X

Reference10 articles.

1. Asymptotic growth of powers of ideals

2. Lengths of Tors Determined by Killing Powers of Ideals in a Local Ring

3. Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

4. On the Intersection Algebra of Principal Ideals

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