Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4601
DC Field | Value | Language |
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dc.contributor.author | Caldeira, Cristina | - |
dc.date.accessioned | 2008-09-01T11:35:04Z | - |
dc.date.available | 2008-09-01T11:35:04Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Linear Algebra and its Applications. 424:2-3 (2007) 492-509 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/4601 | - |
dc.description.abstract | Let V be a finite dimension vector space. For a linear operator on V, f, D(f) denotes the restriction of the derivation associated with f to the mth Grassmann space of V. In [Cyclic spaces for Grassmann derivatives and additive theory, Bull. London Math. Soc. 26 (1994) 140-146] Dias da Silva and Hamidoune obtained a lower bound for the degree of the minimal polynomial of D(f), over an arbitrary field. Over a field of zero characteristic that lower bound is given bydeg(PD(f))[greater-or-equal, slanted]m(deg(Pf)-m)+1.Using additive number theory results, results on the elementary divisors of D(f) and methods presented by Marcus and Ali in [Minimal polynomials of additive commutators and jordan products, J. Algebra 22 (1972) 12-33] we obtain a characterization of equality cases in the former inequality, over a field of zero characteristic, whenever m does not exceed the number of distinct eigenvalues of f. | en_US |
dc.description.uri | http://www.sciencedirect.com/science/article/B6V0R-4N4J352-3/1/1ed47bbdae767944ea37612f8490fe7e | en_US |
dc.format.mimetype | aplication/PDF | en |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.subject | Grassmann space | en_US |
dc.subject | Derivation | en_US |
dc.subject | Minimal polynomial | en_US |
dc.title | Critical operators for the degree of the minimal polynomial of derivations restricted to Grassmann spaces | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1016/j.laa.2007.02.021 | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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filef9a69295a87b479d89b971af510f696a.pdf | 202.71 kB | Adobe PDF | View/Open |
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