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http://hdl.handle.net/2445/129787
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DC Field | Value | Language |
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dc.contributor.advisor | Miró-Roig, Rosa M. (Rosa Maria) | - |
dc.contributor.author | Salat Moltó, Martí | - |
dc.date.accessioned | 2019-03-06T09:50:21Z | - |
dc.date.available | 2019-03-06T09:50:21Z | - |
dc.date.issued | 2018-06-27 | - |
dc.identifier.uri | http://hdl.handle.net/2445/129787 | - |
dc.description | Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2018, Director: Rosa Maria Miró-Roig | ca |
dc.description.abstract | [en] In this work we address the minimality problem of GT-systems in three variables introduced in [8]. To study this problem, we consider an $N \times N$ generic sparse circulant matrix $M$ with only three non-zero entries per row: $x_0, x_a$ and $x_b$ . We consider $d _{(N;0,a,b)}$ (resp. $p_{( N;0,a,b)}$) the number of non-zero coefficients in the expansion of the determinant (resp. the permanent) of $M$. The minimality of a GT-system is translated to the equality between $d_{(N;0,a,b)}$ and $p_{(N;0,a,b)}$ with gcd $(a,b,N)=1$. We prove that this equality holds in some open cases giving rise to new minimality results. | ca |
dc.format.extent | 30 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc-by-sa (c) Martí Salat Moltó, 2018 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | * |
dc.source | Màster Oficial - Matemàtica Avançada | - |
dc.subject.classification | Matrius (Matemàtica) | cat |
dc.subject.classification | Anells artinians | cat |
dc.subject.classification | Treballs de fi de màster | cat |
dc.subject.classification | Varietats algebraiques | ca |
dc.subject.classification | Geometria diferencial | ca |
dc.subject.classification | Geometria projectiva | ca |
dc.subject.classification | Àlgebra commutativa | ca |
dc.subject.other | Matrices | eng |
dc.subject.other | Artin rings | eng |
dc.subject.other | Master's theses | eng |
dc.subject.other | Algebraic varieties | en |
dc.subject.other | Differential geometry | en |
dc.subject.other | Projective geometry | en |
dc.subject.other | Commutative algebra | en |
dc.title | On the minimality of GT-systems | ca |
dc.type | info:eu-repo/semantics/masterThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Màster Oficial - Matemàtica Avançada |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 229.29 kB | Adobe PDF | View/Open |
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