论文信息 - An inequality for invariant factors

An inequality for invariant factors

A divisibility relation is proved connecting the invariant factors of integral matrices A, B, C when C = AB. Let A, B, and C be n X n matrices with entries in a principal ideal domain 6, and with C = AB. In a recent note (3) on the multiplicative property of the Smith normal

Robert C. Thompson

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[2] T. Klein. The Multiplication of Schur-Functions and Extensions of p-Modules , 1968 .

[3] M. Newman. A result about determinantal divisors , 1982 .

[4] M. F. Smiley. Inequalities related to Lidskiĭ’s , 1968 .

[5] R. C. Thompson. Interlacing inequalities for invariant factors , 1979 .