Zobrazeno 1 - 10
of 29
pro vyhledávání: '"05E40, 13C14"'
Publikováno v:
J. Pure Appl. Algebra, 228(9), 107665, 2024
In this article, we study algebraic properties of binomial edge ideals of Levi graphs associated with certain plane curve arrangements. Using combinatorial properties of Levi graphs, we discuss the Cohen-Macaulayness of binomial edge ideals of Levi g
Externí odkaz:
http://arxiv.org/abs/2310.08191
Autor:
Bijender, Kumar, Ajay
Given a simplicial complex $\Delta$, we investigate how to construct a new simplicial complex $\bar{\Delta}$ such that the corresponding monomial ideals satisfy nice algebraic properties. We give a procedure to check the vertex decomposability of an
Externí odkaz:
http://arxiv.org/abs/2304.11640
In $2011$, Herzog, Hibi, and Ohsugi conjectured that if $J$ is the cover ideal of a chordal graph, then $J^s$ is componentwise linear for all $s \ge 1.$ In 2022, H\`a and Tuyl considered objects more general than chordal graphs and posed the followin
Externí odkaz:
http://arxiv.org/abs/2304.11630
Autor:
Baeth, Nicholas R., Smertnig, Daniel
We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring $R$ through the factorization theory of the corresponding monoid $T(R)$. Results of Levy-Wiegand and Levy-Odenthal together with a study of
Externí odkaz:
http://arxiv.org/abs/2006.10002
Autor:
Kumar, Rajiv, Kumar, Ajay
The Cohen-Macaulay property of a graph arising from a poset has been studied by various authors. In this article, we study the Cohen-Macaulay property of a graph arising from a family of reflexive and antisymmetric relations on a set. We use this res
Externí odkaz:
http://arxiv.org/abs/1803.07880
Autor:
Greco, Ornella, Martino, Ivan
In this work, we study the Betti numbers of pinched Veronese rings, by means of the reduced homology of squarefree divisor complexes. We characterize when these rings are Cohen-Macaulay and we the study the shape of the Betti tables for the pinched V
Externí odkaz:
http://arxiv.org/abs/1709.10461
Autor:
Herzog, Jürgen, Rahimi, Ahad
In this paper we consider bi-Cohen-Macaulay graphs, and give a complete classification of such graphs in the case they are bipartite or chordal. General bi-Cohen-Macaulay graphs are classified up to separation. The inseparable bi-Cohen-Macaulay graph
Externí odkaz:
http://arxiv.org/abs/1508.07119
Autor:
Greco, Ornella, Martino, Ivan
We study the minimal free resolution of the Veronese modules of the polynomial ring in n variables, by giving a formula for the Betti numbers in terms of the reduced homology of some skeleton of a simplicial complex. We characterize when they are Coh
Externí odkaz:
http://arxiv.org/abs/1403.4796
Given a tree T on n vertices, there is an associated ideal I of a polynomial ring in n variables over a field, generated by all paths of a fixed length of T. We show that such an ideal always satisfies the Konig property and classify all trees for wh
Externí odkaz:
http://arxiv.org/abs/1211.4647
Autor:
Daniel Smertnig, Nicholas R. Baeth
We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring $R$ through the factorization theory of the corresponding monoid $T(R)$. Results of Levy-Wiegand and Levy-Odenthal together with a study of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50914c3368df35b3c7bbeea32fa22d3c