A Multiplicative Property of Invariant Factors
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 2 (2) , 141-142
- https://doi.org/10.1080/03081087408817051
Abstract
A multiplicative property is proved for invariant factors of module homomorphisms over a Dedekind domainR.IfRis a principal ideal domain, this gives a new proof of the following result for the Smith normal formS(*)of a matrix:S(AB)=S(A)S(B)if detA and det B are relatively prime.Keywords
This publication has 2 references indexed in Scilit:
- A note on multiplicative property of the Smith normal formJournal of Research of the National Bureau of Standards, Section B: Mathematical Sciences, 1972
- Introduction to Quadratic FormsPublished by Springer Nature ,1963