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| dc.contributor | Miró-Roig, Rosa M. (Rosa Maria) | |
| dc.creator | Salat Moltó, Martí | |
| dc.date | 2017-07-04T09:12:55Z | |
| dc.date | 2017-07-04T09:12:55Z | |
| dc.date | 2017-01-16 | |
| dc.date.accessioned | 2024-12-16T10:24:35Z | |
| dc.date.available | 2024-12-16T10:24:35Z | |
| dc.identifier | http://hdl.handle.net/2445/113296 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17966 | |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Rosa Maria Miró-Roig | |
| dc.description | The weak and strong Lefschetz properties on graded artinian algebras have been an object of study along the last few decades. Precisely, let be $A$ a graded artinian algebra. We say that $A$ has the Strong Lefschetz property (SLP) if the multiplication by a $d$th power of a general linear form have maximal rank (i.e. $\times L^{d} : A_{i} \rightarrow A_{i+d}$ is injective or surjective for every $i$). We say that $A$ has the Weak Lefschetz property (WLP) if occurs the same with $d = 1$. These properties have connections among different areas such as algebraic geometry, commutative algebra and combinatorics. Sometimes quite surprising, these connections give new approaches and relate problems, a priori, very distant. | |
| dc.format | 50 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | cc-by-nc-nd (c) Martí Salat Moltó, 2017 | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | |
| dc.subject | Àlgebra commutativa | |
| dc.subject | Treballs de fi de grau | |
| dc.subject | Geometria algebraica | |
| dc.subject | Singularitats (Matemàtica) | |
| dc.subject | Anells artinians | |
| dc.subject | Commutative algebra | |
| dc.subject | Bachelor's theses | |
| dc.subject | Algebraic geometry | |
| dc.subject | Singularities (Mathematics) | |
| dc.subject | Artin rings | |
| dc.title | Lefschetz properties in algebra and geometry | |
| dc.type | info:eu-repo/semantics/bachelorThesis |
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