Výsledky vyhledávání - "Nasrin Altafi"

Lefschetz properties of some codimension three Artinian Gorenstein algebras

Autor: Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino, Alexandra Seceleanu, Joachim Yaméogo

Publikováno v: Journal of Algebra. 625:28-45

Codimension two Artinian algebras $A$ have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent such results might extend to codimension three AG algebras - the most

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dd9528f3c2fdc07e280b3189873e989
https://doi.org/10.1016/j.jalgebra.2023.03.005

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Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property

Autor: Nasrin Altafi

Publikováno v: Proceedings of the American Mathematical Society. 150:499-513

We prove that a sequence $h$ of non-negative integers is the Hilbert function of some Artinian Gorenstein algebra with the strong Lefschetz property if and only if it is an SI-sequence. This generalizes the result by T. Harima which characterizes the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf8555df26d3a897272c602651a8bce2
https://doi.org/10.1090/proc/15676

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Monomial ideals and the failure of the Strong Lefschetz property

Autor: Samuel Lundqvist, Nasrin Altafi

We give a sharp lower bound for the Hilbert function in degree d of artinian quotients $$\Bbbk [x_1,\ldots ,x_n]/I$$ k [ x 1 , … , x n ] / I failing the Strong Lefschetz property, where I is a monomial ideal generated in degree $$d \ge 2$$ d ≥ 2

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Lefschetz properties of monomial algebras with almost linear resolution

Autor: Navid Nemati, Nasrin Altafi

Publikováno v: Communications in Algebra
Communications in Algebra, Taylor & Francis, 2020, 48 (4), pp.1499-1509. ⟨10.1080/00927872.2019.1691568⟩
Communications in Algebra, 2020, 48 (4), pp.1499-1509. ⟨10.1080/00927872.2019.1691568⟩

International audience; We study the WLP and SLP of artinian monomial ideals in S = K[x 1 ,. .. , x n ] via studying their minimal free resolutions. We study the Lefschetz properties of such ideals where the minimal free resolution of S/I is linear f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f49006d8cd6b54a85ffa656b2c2bc6e
https://hal.inria.fr/hal-03133849

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The weak Lefschetz property of equigenerated monomial ideals

Autor: Nasrin Altafi, Mats Boij

We determine a sharp lower bound for the Hilbert function in degree $d$ of a monomial algebra failing the weak Lefschetz property over a polynomial ring with $n$ variables and generated in degree $d$, for any $d\geq 2$ and $n\geq 3$. We consider arti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e0abafb920cf63f2dd0cc970cb61342
http://arxiv.org/abs/1807.02138

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Complete intersection Jordan types in height two

Autor: Leila Khatami, Anthony Iarrobino, Nasrin Altafi

We determine every Jordan type partition that occurs as the Jordan block decomposition for the multiplication map by a linear form in a height two homogeneous complete intersection (CI) Artinian algebra $A$ over an algebraically closed field $\sf k$

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Free resolution of powers of monomial ideals and Golod rings

Autor: S. A. Seyed Fakhari, Nasrin Altafi, Siamak Yassemi, Navid Nemati

Publikováno v: Mathematica Scandinavica

Let $S = \mathbb{K}[x_1, \dots, x_n]$ be the polynomial ring over a field $\mathbb{K}$. In this paper we present a criterion for componentwise linearity of powers of monomial ideals. In particular, we prove that if a square-free monomial ideal $I$ co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45472aff1eba4419b4700b6e09257b7f
https://hdl.handle.net/21.11116/0000-000C-C273-721.11116/0000-000C-C275-5

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Jordan types with small parts for Artinian Gorenstein algebras of codimension three

Autor: Nasrin Altafi

We study Jordan types of linear forms for graded Artinian Gorenstein algebras having arbitrary codimension. We introduce rank matrices of linear forms for such algebras that represent the ranks of multiplication maps in various degrees. We show that

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80c9d7f2d6458b1a0e131758eaac5540
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-279441

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