Passi, Inder Bir S. ; Roggenkamp, Klaus W. ; Soriano, Marcos (2002) Integral Jordan decomposition of matrices Linear Algebra and its Applications, 355 (1-3). pp. 241-261. ISSN 0024-3795
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0024-3795(02)00355-5
Abstract
We treat the question of Jordan decomposition for R-orders, where R is an integrally closed noetherian integral domain with perfect field of quotients K. We shall relate the existence of a Jordan decomposition for orders to Hochschild cohomology and derive local-global principles for Jordan decomposition. We treat the cases of orders contained in Mat(2, K) and of orders generated by a single element in detail, and develop a new procedure for computing the semisimple part of a matrix in Mat(n, K).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Jordan Decomposition of Matrices; Hochschild Cohomology; Separable Orders; Semisimple Elements; Local-global Principles |
| ID Code: | 56784 |
| Deposited On: | 25 Aug 2011 10:04 |
| Last Modified: | 25 Aug 2011 10:04 |
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