Intersection algebras for principal monomial ideals in polynomial rings

被引：2
|
作者：
Enescu, Florian [1 ]
Malec, Sara [2 ]
机构：
[1] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
[2] Univ Pacific, Dept Math, Stockton, CA 95211 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2015年 / 14卷 / 07期
关键词：
Intersection algebra; Hilbert bases; Diophantine linear equations; toric rings; EQUATIONS; POWERS;
D O I：
10.1142/S021949881550108X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：23
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