摘要
本文以矩阵变换和整理论为工具,研究了在环面同态作用下零维理想的性质,证明了零维理想的环面同态矩阵是满秩的,并且刻画了零维理想在环面作用下的对应关系.
In this paper, we discuss properties of a zero-dimensional ideal under toric homomorphisms by applying matrix operation and integrality theory. We prove the toric homomorphism matrix of a zero-dimensional ideal is a full rank matrix, and describe the relation between zero-dimensional ideals under toric homomorphisms.
出处
《数学杂志》
CSCD
北大核心
2005年第5期499-506,共8页
Journal of Mathematics
基金
TheNationalNaturalScienceFoundationofChina(10071031),National973 ProjectandtheScientificResearchProjectofInstituteofHigherEducationof LiaoningProvience(2021401161)
关键词
零维理想
环面理想
半群代数
zero-dimensional ideal
toric ideal
semigroup algebra
