Zobrazeno 1 - 10 of 45 pro vyhledávání: '"S. A. Seyed Fakhari"'
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Akademický článek
On the Stanley Depth of Powers of Monomial Ideals
Autor: S. A. Seyed Fakhari
Publikováno v: Mathematics, Vol 7, Iss 7, p 607 (2019)
In 1982, Stanley predicted a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The predicted invariant is now called the Stanley depth. Duval et al. found a counterexample for Stanley’s con
Externí odkaz: https://doaj.org/article/d42414b508ee4d01b7ded80f5184103c
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On the regularity of small symbolic powers of edge ideals of graphs
Autor: S. A. Seyed Fakhari
Publikováno v: MATHEMATICA SCANDINAVICA. 129
Assume that $G$ is a graph with edge ideal $I(G)$ and let $I(G)^{(s)}$ denote the $s$-th symbolic power of $I(G)$. It is proved that for every integer $s\geq 1$, $$ \mathrm{reg} (I(G)^{(s+1)})\leq \max \bigl \{\mathrm{reg} (I(G))$$ $$+2s, \mathrm{reg
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3766b323cc51135ebc6823d85f761361
https://doi.org/10.7146/math.scand.a-134104
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7
Regularity of symbolic powers of edge ideals of Cameron-Walker graphs
Autor: S. A. Seyed Fakhari
Publikováno v: Communications in Algebra. 48:5215-5223
A Cameron-Walker graph is a graph for which the matching number and the induced matching number are the same. Assume that G is a Cameron-Walker graph with edge ideal I(G), and let ind‐match(G) be t...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::77ab6a7686b182dfcadc8c6e390b5cb1
https://doi.org/10.1080/00927872.2020.1783673
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8
Regularity of symbolic powers of edge ideals of unicyclic graphs
Autor: S. A. Seyed Fakhari
Publikováno v: Journal of Algebra. 541:345-358
Let G be a unicyclic graph with edge ideal I ( G ) . For any integer s ≥ 1 , we denote the s-th symbolic power of I ( G ) by I ( G ) ( s ) . It is shown that reg ( I ( G ) ( s ) ) = reg ( I ( G ) s ) , for every s ≥ 1 .
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d210b6b45bc7615fe7c2f0e9c3dfbe93
https://doi.org/10.1016/j.jalgebra.2019.08.039
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9
Stability of depth and Stanley depth of symbolic powers of squarefree monomial ideals
Autor: S. A. Seyed Fakhari
Publikováno v: Proceedings of the American Mathematical Society. 148:1849-1862
Let K \mathbb {K} be a field and let S = K [ x 1 , … , x n ] S=\mathbb {K}[x_1,\dots ,x_n] be the polynomial ring in n n variables over K \mathbb {K} . Assume that I ⊂ S I\subset S is a squarefree monomial ideal. For every integer k ≥ 1 k\geq 1
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a953f68029b3b66e74dca40a3d05b03
https://doi.org/10.1090/proc/14864
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10
On the depth and Stanley depth of the integral closure of powers of monomial ideals
Autor: S. A. Seyed Fakhari
Publikováno v: Collectanea Mathematica. 70:447-459
Let $${\mathbb {K}}$$ be a field and $$S={\mathbb {K}}[x_1,\ldots ,x_n]$$ be the polynomial ring in n variables over $${\mathbb {K}}$$ . For any monomial ideal I, we denote its integral closure by $${\overline{I}}$$ . Assume that G is a graph with ed
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4fb40ae0cb4845dc89d18fe16118102b
https://doi.org/10.1007/s13348-019-00240-x
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