Similarity of matrices over finite rings

Pomfret, J.

doi:10.1090/S0002-9939-1973-0309963-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Similarity of matrices over finite rings
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by J. Pomfret PDF

Proc. Amer. Math. Soc. 37 (1973), 421-422 Request permission

Abstract:

It is shown that questions of similarity of certain invertible matrices over a finite ring can be reduced to questions of similarity over finite fields through the application of canonical epimorphisms.

References

M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR 0242802
Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
D. A. Suprunenko, On the conjugacy of matrices over a ring of residues, Dokl. Akad. Nauk BSSR 8 (1964), 693–695 (Russian). MR 0172886