Zobrazeno 1 - 10
of 5 065 702
pro vyhledávání: '"A. A. Cohen"'
Autor:
Francis Mus
'With my jingle in your brain, Allow the Bridge to arch again'How are we to understand Leonard Cohen's plea? Who speaks to whom in this oeuvre spanning six decades? In search of an answer to this question this study considers the different guises or
Autor:
Park, Soohyun
We find decompositions of $h$-polynomials of flag doubly Cohen-Macaulay simplicial complex that yield a direct connection between gamma vectors of flag spheres and constructions used to build them geometrically. More specifically, they are determined
Externí odkaz:
http://arxiv.org/abs/2411.02390
Autor:
Hoang, Do Trong, Vu, Thanh
We associate a {\it skew tableau ideal} to each filling of a skew Ferrers diagram with positive integers. We classify all unmixed and sequentially Cohen-Macaulay skew tableau ideals. Consequently, we classify all Cohen-Macaulay, Buchsbaum, and genera
Externí odkaz:
http://arxiv.org/abs/2410.20492
We introduce the notion of a lim Cohen-Macaulay sequence of modules. We prove the existence of such sequences in positive characteristic, and show that their existence in mixed characteristic implies the long open conjecture about positivity of Serre
Externí odkaz:
http://arxiv.org/abs/2410.18372
Autor:
Bartels, Richard F.
For a Cohen-Macaulay local ring $(R,\mathfrak{m})$ with canonical module, we study how relations between $\text{index}(R)$ and $\text{g}\ell\ell(R)$ and between $\text{index}(R)$ and $e(R)$ are preserved when factoring out regular sequences and local
Externí odkaz:
http://arxiv.org/abs/2410.11144
Autor:
Ficarra, Antonino, Moradi, Somayeh
In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of the last matching power of an edge ideal is characterized, providing an
Externí odkaz:
http://arxiv.org/abs/2410.01666
Let $I(G)^{[k]}$ denote the $k^{th}$ square-free power of the edge ideal $I(G)$ of a graph $G$. In this article, we provide a precise formula for the depth of $I(G)^{[k]}$ when $G$ is a Cohen-Macaulay forest. Using this, we show that for a Cohen-Maca
Externí odkaz:
http://arxiv.org/abs/2409.06021
Auslander and Reiten called a finite dimensional algebra $A$ over a field Cohen-Macaulay if there is an $A$-bimodule $W$ which gives an equivalence between the category of finitely generated $A$-modules of finite projective dimension and the category
Externí odkaz:
http://arxiv.org/abs/2409.05603
Autor:
Bhardwaj, Om Prakash, Saha, Kamalesh
Some recent investigations indicate that for the classification of Cohen-Macaulay binomial edge ideals, it suffices to consider biconnected graphs with some whiskers attached (in short, `block with whiskers'). This paper provides explicit combinatori
Externí odkaz:
http://arxiv.org/abs/2409.01639
In this paper, we study the distribution of the cokernels of random $p$-adic matrices with fixed zero entries. Let $X_n$ be a random $n \times n$ matrix over $\mathbb{Z}_p$ in which some entries are fixed to be zero and the other entries are i.i.d. c
Externí odkaz:
http://arxiv.org/abs/2409.01226