Surprising occurrences of order structures in mathematics
DOI10.3934/jcd.2024027MaRDI QIDQ6632769
Publication date: 5 November 2024
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
posetbipartite graphcategorypolynomial ringtopologydirected graphassociative algebrapreordermatrix groupletterplace idealBorel-fixed idealstrongly stable ideal
Partial orders, general (06A06) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Representations of associative Artinian rings (16G10) Generalities in topology (54A99) Structure theory for linear algebraic groups (20G07) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Letterplace and co-letterplace ideals of posets
- Monomial ideals and toric rings of Hibi type arising from a finite poset
- Progress in commutative algebra 1. Combinatorics and homology
- Frobenius algebras. I: Basic representation theory.
- An extended Euler-Poincaré theorem
- A description of the subgroups of the complete linear group that contain the group of diagonal matrices
- Cohen-Macaulay graphs
- Poset ideals of \(P\)-partitions and generalized letterplace and determinantal ideals
- Hilbert schemes with two Borel-fixed points
- Singular homology groups and homotopy groups of finite topological spaces
- Distributive lattices, bipartite graphs and Alexander duality
- Lattice theory.
- Generalizing the Borel property
- Finite Topological Spaces as a Pedagogical Tool
- Borel degenerations of arithmetically Cohen–Macaulay curves in ℙ3
- Combinatorial Commutative Algebra
- Monomial Ideals
- An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme
- An Invitation to Applied Category Theory
- Resolutions of co-letterplace ideals and generalizations of Bier spheres
- The Lattice of Topologies: Structure and Complementation
- General Theory of Natural Equivalences
- Algebraic Operads
- Shift modules, strongly stable ideals, and their dualities
This page was built for publication: Surprising occurrences of order structures in mathematics
