The AMS website will be down for maintenance on May 23 between 6:00am - 8:00am EDT. For questions please contact AMS Customer Service at or (800) 321-4267 (U.S. & Canada), (401) 455-4000 (Worldwide).


Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



Sometimes only square matrices can be diagonalized

Author: Lawrence S. Levy
Journal: Proc. Amer. Math. Soc. 52 (1975), 18-22
MSC: Primary 16A64; Secondary 15A21
MathSciNet review: 0376775
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: It is proved that every SQUARE matrix over a serial ring is equivalent to some diagonal matrix, even though there are rectangular matrices over these rings which cannot be diagonalized.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A64, 15A21

Retrieve articles in all journals with MSC: 16A64, 15A21

Additional Information

Keywords: Matrix, matrix equivalence, diagonal matrices, generalized uniserial ring, serial ring, projective module
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society