Results 31 to 40 of about 1,337,006 (164)

Monomial ideals of minimal depth

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals.
Ishaq Muhammad
doaj   +1 more source

Depth and Stanley depth of the edge ideals of the powers of paths and cycles

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
doaj   +1 more source

Stanley decompositions of rings of invariants and certain highest weight Harish-Chandra modules

, 2023
The first half of this paper is largely expository, wherein we present a systematic combinatorial approach to the theory of polynomial (semi)invariants and multilinear invariants of several vectors and covectors, for the classical groups. This culminates in a graphical description of graded linear bases.
Erickson, William Q., Hunziker, Markus
openaire   +2 more sources

Fixed-point-free involutions and Schur P-positivity

, 2018
The orbits of the symplectic group acting on the type A flag variety are indexed by the fixed-point-free involutions in a finite symmetric group. The cohomology classes of the closures of these orbits have polynomial representatives $\hat{\mathfrak{S}}^{\
Hamaker, Zachary, Marberg, Eric, Pawlowski, Brendan   +2 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Nonthermal Food Processing Technologies: A Comprehensive Review

Future Postharvest and Food, EarlyView.
The graphical abstract illustrates the shift from traditional thermal food preservation methods to advanced nonthermal technologies. Traditional methods, represented by heating, often compromise the nutritional and sensory quality of foods. In contrast, nonthermal approaches such as high‐pressure processing (HPP), pulsed electric field (PEF ...
Ashok Kumar Yadav, Dinesh Chandra Rai, Aman Rathaur, Hradesh Rajput, Sudhir Kumar, Zeenat Aman   +5 more
wiley   +1 more source

Stanley depth of the integral closure of monomial ideals

, 2012
Let $I$ be a monomial ideal in the polynomial ring $S=\mathbb{K}[x_1,...,x_n]$. We study the Stanley depth of the integral closure $\bar{I}$ of $I$. We prove that for every integer $k\geq 1$, the inequalities ${\rm sdepth} (S/\bar{I^k}) \leq {\rm sdepth}
Fakhari, S. A. Seyed
core   +1 more source

Do Internet‐Driven Trade Shocks Moderate the Exchange Rate Pass‐Through to Inflation?

International Journal of Finance &Economics, EarlyView.
ABSTRACT This study examines the existence of an internet globalisation intensifying impact on the size of the exchange rate pass‐through (ERPT) to inflation, which conditions the response of central banks' policy rates. Expanding on the traditional determinants of ERPT, we incorporate technology‐induced trade shocks linked to internet adoption to ...
Joanna Darwiche, Nicole Ballouz Baker
wiley   +1 more source

Depth and Stanley depth of symbolic powers of cover ideals of graphs

, 2017
Let $G$ be a graph with $n$ vertices and let $S=\mathbb{K}[x_1,\dots,x_n]$ be the polynomial ring in $n$ variables over a field $\mathbb{K}$. Assume that $J(G)$ is the cover ideal of $G$ and $J(G)^{(k)}$ is its $k$-th symbolic power.
Fakhari, S. A. Seyed
core   +1 more source

Investigating boreal forest successional stages in Alaska and Northwest Canada using UAV‐LiDAR and RGB and a community detection network

Remote Sensing in Ecology and Conservation, EarlyView.
This study develops a novel application of UAV‐LiDAR and Red Green Blue (RGB) data and network analysis to enhance our understanding of boreal forest succession. The results indicate that tree height and spectral variables are the most influential predictors of plant functional type in random forest algorithms, and high overall accuracies were attained.
Léa Enguehard, Birgit Heim, Ulrike Herzschuh, Viktor Dinkel, Glenn Juday, Santosh Panda, Nicola Falco, Jacob Schladebach, Jakob Broers, Stefan Kruse   +9 more
wiley   +1 more source