Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/153
Title: | Diagonalizability theorems for matrices over rings with finite stable range |
Other Titles: | Dedicated to Yu.A. Drozd on the occasion of his 60th birthday |
Authors: | Zabavsky, Bogdan |
Keywords: | математика |
Issue Date: | 2005 |
Abstract: | We construct the theory of diagonalizability for matrices over Bezout ring with finite stable range. It is shown that every commutative Bezout ring with compact minimal prime spec- trum is Hermite. It is also shown that a principal ideal domain with stable range 1 is Euclidean domain, and every semilocal principal ideal domain is Euclidean domain. It is proved that every matrix over an elementary divisor ring can be reduced to "almost" diagonal matrix by elementary transformations. |
URI: | http://hdl.handle.net/123456789/153 |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
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adm-n1-12.pdf | 179.72 kB | Adobe PDF | View/Open |
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