有限维局部代数上的矩阵的秩及其应用（英文）
유한유국부대수상적구진적질급기응용（영문）
Rank of Matrix of Finite Dimensional Local Algebras and Its Application
  • 万方数据
    宁夏师范学院学报 저하사범학원학보
    JOURNAL OF NINGXIA TEACHERS UNIVERSITY
    2011年 6期 11-13,21 ,共4页

    白秋雪%李文静%宋伟林%张跃辉

    백추설%리문정%송위림%장약휘

    局部代数%可逆性%矩阵的秩%McCoy定理 跼部代數%可逆性%矩陣的秩%McCoy定理
    국부대수%가역성%구진적질%McCoy정리
    Local algebras%Invertibility%Full rank of matrix%McCoy′s theorem
    证明通常矩阵的可逆与满秩是等价的这一事实可以推广到有限维局部交换代数上的矩阵代数.作为一个应用,我们给出经典McCoy’s定理的一个简单证明.
    증명통상구진적가역여만질시등개적저일사실가이추엄도유한유국부교환대수상적구진대수.작위일개응용,아문급출경전McCoy’s정리적일개간단증명.
    It is proved that the usual equivalence of full rank and invertibility of matrices can be generalized over matrix algebra over a Finite dimensional commutative local algebra.As an application,a very simple proof is given for classical McCoy′s theorem.
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