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ω1 and −ω1 May Be the Only Minimal Uncountable Linear Orders
ω1 and − ω1 May Only Minimal Uncountable Linear Orders
2015/8/17
In 1971 Laver proved the following result, confirming a long-standing conjecture of Fraïssé. Theorem 1.1 [10]. If Li (i < ω) is a sequence of σ-scattered linear orders, then there exist i < j suc...
Minimal primes of ideals arising from conditional independence statements
conditional independence statements Commutative Algebra
2011/9/22
Abstract: We consider ideals, arising in the context of conditional independence models, that generalize those considered by Fink [6] in a way distinct from the generalization of [11]. We describe the...
Depth and minimal number of generators of square free monomial ideals
Monomial Ideals Depth Stanley depth Commutative Algebra
2011/9/5
Abstract: Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by square free monomials of degree $\geq d$. If $I$ contains more monomials of degree $d$ than $(d+1)/d$ of the total n...
Three commuting, unital, completely positive maps that have no minimal dilation
Product system subproduct system semigroups of completely positive maps
2011/1/20
In this note we prove that there exist at least two examples of three commuting, unital, completely positive maps that have no dilation on a type I factor, and no minimal dilation on any von Neumann a...
2-Blocks with minimal nonabelian defect groups
blocks of finite groups minimal nonabelian defect groups Alperin’s conjecture Dade’s conjecture
2011/1/19
We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei (see [41]). If the defect group is also metacyclic, then the block invariants are...
Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems
finite groups realizing Ruiz-Viruel exotic fusion systems
2010/11/23
Continuing our previous work, we determine a minimal left characteristic biset $X$ for every exotic fusion system $\mathcal{F}$ on the extraspecial group $S$ of order $7^3$ and exponent $7$ discovered...
Minimal free resolutions for certain affine monomial c
Minimal free resolutions certain affine monomial
2010/11/23
Given an arbitrary field k and an arithmetic sequence of positive integers m_0<...onsider the affine monomial curve parameterized by X_0=t^{m_0},...,X_n=t^{m_n}. In this paper, we conjectur...
A maximum principle for pointwise energies of quadratic Wasserstein minimal networks
quadratic Wasserstein minimal networks
2010/11/8
We show that suitable convex energy functionals on a quadratic Wasserstein space satisfy a maximum principle on minimal networks. We explore consequences of this maximum principle for the structure of...
Minimal immersions of closed surfaces in hyperbolic three-manifolds
Minimal immersions closed surfaces in hyperbolic three-manifolds
2010/11/11
We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surfac...
Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs
Vertex subsets $Q$-polynomial distance-regular graphs
2010/11/15
We study $Q$-polynomial distance-regular graphs from the point of view of what we call descendents, that is to say, those vertex subsets with the property that the width $w$ and dual width $w^*$ sati...
On the continuous dependence of the minimal solution of constrained backward stochastic differential equations
the minimal solution stochastic differential equations
2010/11/15
It is well-known that solutions of backward differential equations are continuously dependent on the terminal value. Since the increasing part of the minimal solution of a constrained backward differe...
On minimal colorings without monochromatic solutions to a linear equation
minimal colorings without monochromatic solutions linear equation
2010/12/9
For a ring R and system L of linear homogeneous equations, we call a coloring of the nonzero
elements of R minimal for L if there are no monochromatic solutions to L and the coloring uses as few colo...
Minimal infinite submodule-closed subcategories
Minimal infinite bmodule-closed subcategories
2010/11/30
Let be an artin algebra. We are going to consider full subcategories of mod closed under finite direct sums and under submodules with infinitely many isomorphism classes of indecomposable modules. ...
Double scaling limits of random matrices and minimal (2m,1) models: the merging of two cuts in a degenerate case
Double scaling limits minimal (2m,1) models random matrices
2010/4/2
In this article, we show that the double scaling limit correlation functions of a random matrix model when two cuts merge with degeneracy $2m$ (i.e. when $y\sim x^{2m}$ for arbitrary values of the int...
Minimal Achievable Approximation Ratio for MAX-MQ in Finite Fields
Multivariate quadratic polynomial equations MAX-MQ approximation algorithm approximation ratio
2013/9/9
Given a multivariate quadratic polynomial system in a niteeld Fq, theproblem MAX-MQ is to ˉnd a solution satisfying the maximal number of equations. We prove that the probability of a random assignmen...