数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2005年
5期
499-506
,共8页
零维理想%环面理想%半群代数
零維理想%環麵理想%半群代數
령유이상%배면이상%반군대수
zero-dimensional ideal%toric ideal%semigroup algebra
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.
本文以矩陣變換和整理論為工具,研究瞭在環麵同態作用下零維理想的性質,證明瞭零維理想的環麵同態矩陣是滿秩的,併且刻畫瞭零維理想在環麵作用下的對應關繫.
본문이구진변환화정이론위공구,연구료재배면동태작용하령유이상적성질,증명료령유이상적배면동태구진시만질적,병차각화료령유이상재배면작용하적대응관계.
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.
