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pro vyhledávání: '"Santiago Zarzuela"'
We describe the canonical module of a simplicial affine semigroup ring $\mathbb{K}[S]$ and its trace ideal. As a consequence, we characterize when $\mathbb{K}[S]$ is nearly Gorenstein in terms of arithmetic properties of the semigroup $S$. Then, we f
Externí odkaz:
http://arxiv.org/abs/2411.12081
Given a commutative local ring $(R,\mathfrak m)$ and an ideal $I$ of $R$, a family of quotients of the Rees algebra $R[It]$ has been recently studied as a unified approach to the Nagata's idealization and the amalgamated duplication and as a way to c
Externí odkaz:
http://arxiv.org/abs/2002.00282
We introduce the concept of homogeneous numerical semigroups and show that all homogeneous numerical semigroups with Cohen-Macaulay tangent cones are of homogeneous type. In embedding dimension three, we classify all numerical semigroups of homogeneo
Externí odkaz:
http://arxiv.org/abs/1603.01078
We study arithmetic properties of tangent cones associated to affine monomial curves, using the concept of gluing. In particular we characterize the Cohen-Macaulay and Gorenstein properties of tangent cones of some families of monomial curves obtaine
Externí odkaz:
http://arxiv.org/abs/1303.3789
In this paper, we use the Ap\'ery table of the numerical semigroup associated to an affine monomial curve in order to characterize arithmetic properties and invariants of its tangent cone. In particular, we precise the shape of the Ap\'ery table of a
Externí odkaz:
http://arxiv.org/abs/1205.4118
In this paper we describe the structure of the tangent cone of a numerical semigroup ring $A=k[[S]] \subseteq k[[t]]$ with multiplicity $e$ (as a module over the Noether normalization determined by the fiber cone of the ideal generated by $t^e$) in t
Externí odkaz:
http://arxiv.org/abs/0906.0911
Publikováno v:
Proceedings of the American Mathematical Society. 150:1493-1503
Given a commutative local ring $(R,\mathfrak m)$ and an ideal $I$ of $R$, a family of quotients of the Rees algebra $R[It]$ has been recently studied as a unified approach to the Nagata's idealization and the amalgamated duplication and as a way to c
Akademický článek
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Autor:
Santiago Zarzuela, Alberto F. Boix
Publikováno v:
Acta Mathematica Vietnamica. 44:571-586
It is known that the Frobenius algebra of the injective hull of the residue field of a complete Stanley–Reisner ring (i.e., a formal power series ring modulo a squarefree monomial ideal) can be only principally generated or infinitely generated as
Autor:
Santiago Zarzuela
Publikováno v:
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de la UB
Universidad de Barcelona
Publicacions de la Secció de Matemàtiques; 1982: Vol.: 26 Núm.: 1; p. 5-15
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de la UB
Universidad de Barcelona
Publicacions de la Secció de Matemàtiques; 1982: Vol.: 26 Núm.: 1; p. 5-15
The study of elementary functions, that is, of those functions built up by using rational functions over l, Exponentials, logarithms and algebraic operatons, began somewhat sistematically with the diverse works that Joseph Liouville did in the 1830's
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17fd3c7696ccb210d613912621a923bd
http://hdl.handle.net/2072/389897
http://hdl.handle.net/2072/389897