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A NOTE ON COMMON DIVISORS AND MULTIPLES OF INTEGRAL MATRICES

Title
A NOTE ON COMMON DIVISORS AND MULTIPLES OF INTEGRAL MATRICES
Authors
이인아
Issue Date
1986
Department/Major
대학원 수학과
Keywords
NOTECOMMON DIVISORSINTEGRAL MATRICES
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
Let R be a principal ideal domain. Let A and B be matrices over R. In this thesis, we will show that the greatest common right divisor D and the least common left multiple M of matrices A & B, which are unique only to within left multiplication by uni-modular matrices, may be chosen so that M = AD^(-1) B if D is singular.;R를 주이데알정역이라고 하자. A와 B를 R위에서 정의된 행렬들이라 하고, A와 B의 최소공배수를 M, 최대공약수를 D라 하자. 만약 D가 특이인 경우, D와 M이 다음과 같은 관계식을 만족하도록 선택되어질 수 있음을 보인다. M = AD^(-1)B
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