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pro vyhledávání: '"Faridi, Sara"'
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen-Macaulay subscheme of $\mathbb{P}^n$ can be G-linked to a complete intersection. Migliore and Nagel showed that, if such a scheme is generically Go
Externí odkaz:
http://arxiv.org/abs/2406.19985
Every multigraded free resolution of a monomial ideal I contains the Scarf multidegrees of I. We say I has a Scarf resolution if the Scarf multidegrees are sufficient to describe a minimal free resolution of I. The main question of this paper is whic
Externí odkaz:
http://arxiv.org/abs/2403.05439
Autor:
Faridi, Sara, Hewalage, Iresha Madduwe
In 2021, Hibi et. al. studied lattice points in $\mathbb{N}^2$ that appear as $(\depth R/I,\dim R/I)$ when $I$ is the edge ideal of a graph on $n$ vertices, and showed these points lie between two convex polytopes. When restricting to the class of Ca
Externí odkaz:
http://arxiv.org/abs/2403.02557
Computing the homotopy type and homological invariants of the independence complex of ternary graphs
Autor:
Faridi, Sara, Holleben, Thiago
In 2022, Jinha Kim proved a conjecture by Engstr\"om that states the independence complex of a graph with no induced cycle of length divisible by 3 is either contractible or homotopy equivalent to a sphere. We give criteria for when the independence
Externí odkaz:
http://arxiv.org/abs/2311.07727
This paper is concerned with finding bounds on betti numbers and describing combinatorially and topologically (minimal) free resolutions of powers of ideals generated by a fixed number $q$ of square-free monomials. Among such ideals, we focus on a sp
Externí odkaz:
http://arxiv.org/abs/2309.02644
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in degrees 1 and $n-1$ when the characteristic is not two, where $n$ is t
Externí odkaz:
http://arxiv.org/abs/2306.04393
Autor:
Faridi, Sara, Ghouchan, Mohammad Farrokhi Derakhshandeh, Ghorbani, Roghayyeh, Pour, Ali Akbar Yazdan
The question we address in this paper is: which monomial ideals have minimal cellular resolutions, that is, minimal resolutions obtained from homogenizing the chain maps of CW-complexes? Velasco gave families of examples of monomial ideals that do no
Externí odkaz:
http://arxiv.org/abs/2209.10338
Autor:
Cooper, Susan M., Khoury, Sabine El, Faridi, Sara, Mayes-Tang, Sarah, Morey, Susan, Sega, Liana M., Spiroff, Sandra
Publikováno v:
Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 77-107
The Taylor resolution is almost never minimal for powers of monomial ideals, even in the square-free case. In this paper we introduce a smaller resolution for each power of any square-free monomial ideal, which depends only on the number of generator
Externí odkaz:
http://arxiv.org/abs/2204.03136
Publikováno v:
In Journal of Pure and Applied Algebra June 2024 228(6)
Publikováno v:
In Journal of Pure and Applied Algebra June 2024 228(6)