Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Ene, Viviana"'
Publikováno v:
Res Math Sci (2022) 9:39
In this paper we provide a full combinatorial characterization of sequentially Cohen-Macaulay binomial edge ideals of closed graphs. In addition, we show that a binomial edge ideal of a closed graph is approximately Cohen-Macaulay if and only if it i
Externí odkaz:
http://arxiv.org/abs/2112.04361
We study powers of binomial edge ideals associated with closed and block graphs.
Externí odkaz:
http://arxiv.org/abs/2009.08341
Autor:
Ene, Viviana, Herzog, Jürgen
Publikováno v:
in Combinatorial Structures in Algebra and Geometry (D. Stamate, T. Szemberg, Eds), Springer Proceedings in Mathematics & Statistics 331,Springer 2020, 43-50
We show that under some conditions, if the initial ideal in$_<(I)$ of an ideal $I$ in a polynomial ring has the property that its symbolic and ordinary powers coincide, then the ideal $I$ shares the same property. We apply this result to prove the eq
Externí odkaz:
http://arxiv.org/abs/2009.03156
We study the coordinate ring of an $L$-convex polyomino, determine its regularity in terms of the maximal number of rooks that can be placed in the polyomino. We also characterize the Gorenstein $L$-convex polyominoes and those which are Gorenstein o
Externí odkaz:
http://arxiv.org/abs/1911.08189
We give a complete characterization of graphs whose binomial edge ideal is licci. An important tool is a new general upper bound for the regularity of binomial edge ideals.
Externí odkaz:
http://arxiv.org/abs/1910.03612
Autor:
Banaru, Daniel, Ene, Viviana
We characterize the finite distributive lattices on which there exists a unique compatible algebra with straightening laws.
Externí odkaz:
http://arxiv.org/abs/1905.11331
We prove that $t$-spread principal Borel ideals are sequentially Cohen-Macaulay and study their powers. We show that these ideals possess the strong persistence property and compute their limit depth.
Externí odkaz:
http://arxiv.org/abs/1806.07828
We study join-meet ideals associated with modular non-distributive lattices. We give a lower bound for the regularity and show that they are not linearly related.
Externí odkaz:
http://arxiv.org/abs/1806.05200