SU\G(𝔸)/K·U
Mathematics › Algebra and Number Theory

Commutative Algebra and Its Applications

Works Count: 23068

Description

This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology.

Keywords

Monomial Ideals; Graded Betti Numbers; Local Cohomology Modules; Symbolic Powers; Edge Ideals; Cohen-Macaulay Modules; Stanley Depth; Toric Algebra; Regularity Bounds; Combinatorial Topology

Most Cited Works

Action Title Date Authors
+
Lectures on Vanishing Theorems 1992-01-01 Hélène Esnault Eckart Viehweg
+ PDF Ask
The Diophantine Equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msup><mml:mrow><mml:mn>8</mml:mn></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> 2015-01-01 Qi Lan Xiaoxue Li
+
Enumerative tropical algebraic geometry in ℝ² 2005-01-20 Grigory Mikhalkin
+
Hopf Algebras and Their Actions on Rings 1993-10-28 Susan Montgomery
+
Rings and Categories of Modules 1974-01-01 Frank W. Anderson Kent R. Fuller
+
Rational Curves on Algebraic Varieties 1996-01-01 Janós Kollár
+ PDF Ask
Singularities and Topology of Hypersurfaces 1992-01-01 Alexandru Dimca
+
An Introduction to Homological Algebra 2008-10-02 Joseph Rotman
+
Algebraic geometry and arithmetic curves 2003-02-01 Qing Liu
+ PDF Ask
Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations 2000-01-01 Nicolas T. Courtois A. V. Klimov Jacques Patarin Adi Shamir
+ PDF Ask
Koszul cohomology and the geometry of projective varieties 1984-01-01 Mark L. Green
+
Higher-Dimensional Algebraic Geometry 2001-01-01 Olivier Debarre
+
Families of rationally connected varieties 2002-07-29 Tom Graber Joe Harris Jason Starr
+
On the ubiquity of Gorenstein rings 1963-01-01 Hyman Bass
+
The Cohomology Structure of an Associative Ring 1963-09-01 Murray Gerstenhaber
+
Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant 1997-04-01 Edward Bierstone
+
Bruno Buchberger’s PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal 2005-12-16 Bruno Buchberger
+ PDF Ask
Homological algebra on a complete intersection, with an application to group representations 1980-01-01 David Eisenbud
+
THE GEOMETRY OF TORIC VARIETIES 1978-04-30 V. I. Danilov
+
An Introduction to Convex Polytopes 1983-01-01 Arne Brøndsted
+ PDF Ask
Tight closure, invariant theory, and the Briançon-Skoda theorem 1990-01-01 Melvin Hochster Craig Huneke
+ PDF Ask
Rational singularities, with applications to algebraic surfaces and unique factorization 1969-01-01 Joseph Lipman
+
Stable module theory 1969-01-01 Maurice Auslander Mark Bridger
+
Relative Homological Algebra 2011-08-23 Edgar E. Enochs Overtoun M. G. Jenda
+
Introduction To Commutative Algebra 2018-03-09 Michael Atiyah
+ PDF Ask
Functors of Artin rings 1968-01-01 Michael Schlessinger
+
Space of Unitary Vector Bundles on a Compact Riemann Surface 1967-03-01 C. S. Seshadri
+
Poly�dres de Newton et nombres de Milnor 1976-02-01 A. G. Kouchnirenko
+
Intersection theory on algebraic stacks and on their moduli spaces 1989-10-01 Angelo Vistoli
+
Toward a Numerical Theory of Ampleness 1966-11-01 Steven L. Kleiman
+
Homotopy properties of the poset of nontrivial p-subgroups of a group 1978-05-01 Daniel Quillen
+ PDF Ask
Modular curves and the eisenstein ideal 1977-12-01 Barry Mazur
+
The tropical Grassmannian 2004-07-07 David E Speyer Bernd Sturmfels
+ PDF Ask
On the de rham cohomology of algebraic varieties 1966-01-01 A. Grothendieck
+
Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3 1977-06-01 David A. Buchsbaum David Eisenbud
+
Coherent sheaves on Pn and problems of linear algebra 1978-07-01 A. A. Beilinson
+
Reductions of ideals in local rings 1954-04-01 D. G. Northcott D. Andrew S. Rees
+
On Lovász’ lattice reduction and the nearest lattice point problem 1986-03-01 László Babai
+
Linear free resolutions and minimal multiplicity 1984-05-01 David Eisenbud Shirô Gotô
+
The number of faces of a simplicial convex polytope 1980-03-01 Richard P. Stanley
+ PDF Ask
Computing Persistent Homology 2004-11-19 Afra Zomorodian Gunnar Carlsson
+
Hilbert functions of graded algebras 1978-04-01 Richard P. Stanley
+
On the Periods of Certain Rational Integrals: I 1969-11-01 Philip A. Griffiths
+
Compactification of Arithmetic Quotients of Bounded Symmetric Domains 1966-11-01 Walter L. Baily Armand Borel
+
Threefolds Whose Canonical Bundles Are Not Numerically Effective 1982-07-01 Шигефуми Мори
+
Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes 1972-09-01 Melvin Hochster
+
Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory 1985-01-01 Bruno Buchberger
+
Topological Methods in Algebraic Geometry 1966-01-01 Friedrich Hirzebruch
+
Algebraic Geometry and Arithmetic Curves 2002-05-09 Qing Liu Reinie Erné
+
The Divisor Class Group of a Krull Domain 1973-01-01 Robert M. Fossum

Most Recent Works

Action Title Date Authors
+
Ordinary and Symbolic Powers of Edge Ideals of Weighted Oriented Graphs 2025-04-08 A. Banerjee Kanoy Kumar Das S. Selvaraja
+
Preservation for generation along the structure morphism of coherent algebras over a scheme 2025-04-10 Anirban Bhaduri Souvik Dey Pat Lank
+
Homology Groups of a Simplicial Complex 2025-04-11 James R. Munkres Steven G. Krantz Harold R. Parks
+
Homology with Coefficients 2025-04-11 James R. Munkres Steven G. Krantz Harold R. Parks
+
Frobenius and Sylvester Inequalities for the Chainable Rank 2025-04-11 A. É. Guterman E. R. Shafeev
+
Componentwise linearity of dominating ideals of path graphs 2025-04-11 Ayesha Asloob Qureshı Aslı Musapaşaoğlu
+
Prime Spectrum and Relations on Krasner Hypermodules 2025-04-14 Baharak Afshar R. Ameri
+
Rees algebras and $$(\text {G}_{d-2})$$ condition 2025-04-15 Suraj Kumar Vivek Mukundan
+
A complete classification of rings without nontrivial one-sided ideals in their one-sided ideal extensions 2025-04-16 Marta Nowakowska
+
Principal ideals in a plactic monoid always intersect 2025-04-16 Daniel Turaev
+ PDF Ask
Matching Polytopes, Gorensteinness, and the Integer Decomposition Property 2025-04-16 Benjamin Eisley Koji Matsushita Andrés R. Vindas-Meléndez
+ PDF Ask
Trimming five generated Gorenstein ideals 2025-04-21 Luigi Ferraro W. Frank Moore
+
A note on the Brody curves 2025-04-21 Vu Van Truong Nguyen Thi Thu Hang
+
Abstract simplicial complexes in Macaulay2 2025-04-22 Nathan Grieve
+
Motivic distribution of rational curves and twisted products of toric varieties 2025-04-22 Loïs Faisant
+
Linkage of modules, Cohen-Macaulay property and local cohomology 2025-04-23 Thyago S. Souza
+
On the injective dimension of unit Cartier and unit Frobenius modules 2025-04-23 Manuel Blickle Daniel Fink A. A. Wheeler Wenliang Zhang
+
Algorithms for determination of T-module structures on some extension groups 2025-04-18 Filip Głoch Dawid E. Kędzierski Piotr Krasoń
+
The degree and codegree threshold for generalized triangle and some trees covering 2025-04-22 Ran Gu Shuaichao Wang
+ PDF Ask
Simplicial Complexes and Matroids with Vanishing $T^2$ 2025-04-24 Alexandru Constantinescu Patricia Klein Thái Thành Nguyễn Anurag Singh Lorenzo Venturello
+ PDF Ask
Lattice Paths, Lefschetz Properties, and Almkvist’s Conjecture in Two Variables 2025-04-24 Nancy Abdallah Chris McDaniel
+
A note on the localizations of generalized injective modules 2025-04-25 Xiaolei Zhang
+
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal 2025-04-25 Alex Fink Jeffrey Giansiracusa Noah Giansiracusa Joshua Mundinger
+
Frobenius numbers associated with Diophantine triples of $$x^2+3 y^2=z^3$$ 2025-04-25 Takao Komatsu Tapas Chatterjee
+
Some results on cohomology modules with respect to an ideal and a non-negative integer 2025-04-28 Mirsadegh Sayedsadeghi Seyedhamid Masoudiporlir M. Y. Sadeghi
+
Down-left graphs and a connection to toric ideals of graphs 2025-04-28 Jennifer Biermann Beth Anne Castellano Marcella Manivel Eden Petruccelli Adam Van Tuyl
+
Exploring Geometrical Properties of Annihilator Intersection Graph of Commutative Rings 2025-04-27 Ali Al Khabyah Moin A. Ansari
+
Abelian Category of Weakly Cofinite Modules for Ideals of Cohomological Dimension One 2025-04-29 Moharram Aghapournahr Gholamreza Pirmohammadi
+
Generalized numerical semigroups up to isomorphism 2025-04-30 Carmelo Cisto Gioia Failla Francesco Navarra
+
Precovers and preenvelopes under Frobenius extensions 2025-04-30 Lixin Mao
+
Cominimaxness of generalized local cohomology modules 2025-04-30 Hajar Roshan-Shekalgourabi Dawood Hassanzadeh-Lelekaami
+
Further results on the total vertex irregularity strength of trees 2025-04-28 Faisal Susanto Rinovia Simanjuntak Edy Tri Baskoro
+
Lower bounds on Loewy lengths of modules of finite projective dimension 2025-05-02 Nawaj KC Josh Pollitz
+
On the ordinary and symbolic powers of fiber products 2025-05-01 Hoang Viet Hop D. Nguyen S. A. Seyed Fakhari
+
Logarithmic tautological rings of the moduli spaces of curves 2025-05-02 Rahul Pandharipande Dhruv Ranganathan Johannes Schmitt Pim Spelier
+
On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules 2025-05-01 Nguyen Xuan Linh Le Thanh Nhan
+
Resolving the Module of Derivations on an n × (n + 1) Determinantal Ring 2025-05-01 Henry Potts-Rubin
+ PDF Ask
On graded going-down domains, II 2025-05-02 Parviz Sahandi N. Shirmohammadi
+
Galois module structure of algebraic integers of the simplest cubic field 2025-05-01 Hajime Ogawa Miho Aoki
+
CHAPTER 4 Hypergeometric sheaves with wild part of dimension one 2025-05-04
+
Graded divided ideals in a graded integral domain 2025-05-05 Nassima Guennach Najib Mahdou Ünsal Teki̇̀r Suat Koç
+
Equivariant algebraic properties of monomial ideals under the Inci(ℕ) operator 2025-05-05 Mughees Ghayas Imran Anwar
+
SOME PROPERTIES OF COFINITELY $$\oplus -g-$$SUPPLEMENTED MODULES 2025-05-05 Celıl Nebıyev Hasan Hüseyın Ökten
+
A homological characterization of <i>w</i> -faithfully flat modules 2025-05-06 Shiqi Xing
+
Tensor product surfaces and quadratic syzygies 2025-05-01 Matthew Weaver
+
On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">N</mml:mi></mml:math>-graded vertex algebras associated with Gorenstein algebras 2025-05-01 Alex Keene Christian Soltermann Gaywalee Yamskulna
+
Ideals, representations and a symmetrised Bernoulli triangle 2025-05-06 Nsibiet E. Udo Praise Adeyemo Balázs Szendröi Stavros Argyrios Papadakis
+
On 2-absorbing ideals of generalized power series rings 2025-05-07 Kamal Paykan Mohammad Habibi
+ PDF Ask
Lower bounds for Waldschmidt constants and Demailly’s conjecture for general and very general points 2025-05-09 Sankhaneel Bisui Thái Thành Nguyễn
+ PDF Ask
Topology of Cut Complexes II 2025-05-09 Margaret M. Bayer Mark Denker Marija Jelić Milutinović Sheila Sundaram Xue Lei