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Networks are characterized by structural features, such as degree distribution, triangular closures, and assortativity. This paper addresses the problem of reconstructing instances of continuously (and non-negatively) weighted networks from…

物理与社会 · 物理学 2024-12-09 Christian Franssen , Joost Berkhout , Bernd Heidergott

It is shown that Vop\v{e}nka's Principle (VP) can restore almost the entire ZF over a weak fragment of it. Namely, if EST is the theory consisting of the axioms of Extensionality, Empty Set, Pairing, Union, Cartesian Product,…

逻辑 · 数学 2023-03-28 Athanassios Tzouvaras

We introduce the notion of partial representation of a weak Hopf algebra. We present the universal algebra $H_{par}^w$, which factorizes these partial representations by algebra morphisms. Also, it is shown that $\Hp$ is isomorphic to a…

量子代数 · 数学 2024-12-19 Felipe Castro , Glauber Quadros , Thaísa Tamusiunas

In this work, we investigate the presence of the weak Lefschetz property (WLP) and Hilbert functions for various types of random standard graded Artinian algebras. If an algebra has the WLP then its Hilbert function is unimodal. Using…

交换代数 · 数学 2024-02-28 Uwe Nagel , Sonja Petrović

We show that it is consistent from an inaccessible cardinal that classical Namba forcing has the weak $\omega_1$-approximation property. In fact, this is the case if $\aleph_1$-preserving forcings do not add cofinal branches to…

逻辑 · 数学 2025-03-24 Maxwell Levine

We study quantum interference corrections to the conductivity in (Ga,Mn)As ferromagnetic semiconductors using a model with disordered valence band holes coupled to localized Mn moments through a p-d kinetic-exchange interaction. We find…

材料科学 · 物理学 2015-05-13 Ion Garate , Jairo Sinova , T. Jungwirth , A. H. MacDonald

When one studies the structure (e.g. graded ideals, graded subspaces, radicals, ...) or graded polynomial identities of graded algebras, the grading group itself does not play an important role, but can be replaced by any other group that…

环与代数 · 数学 2018-05-14 Alexey Gordienko , Ofir Schnabel

The W-set of an element of a weak order poset is useful in the cohomological study of the closures of spherical subgroups in generalized flag varieties. We explicitly describe in a purely combinatorial manner the W-sets of the weak order…

组合数学 · 数学 2014-09-16 Mahir Bilen Can , Michael Joyce , Benjamin Wyser

A well-ordering principle is a principle of the form: If $X$ is well-ordered then $F(X)$ is well-ordered, where $F$ is some natural operator transforming linear orders into linear orders. Many important subsystems of Second-order Arithmetic…

逻辑 · 数学 2025-06-12 Lorenzo Carlucci , Leonardo Mainardi , Konrad Zdanowski

The paper is devoted to the relationship between almost limited operators and weakly compacts operators. We show that if $F$ is a $\sigma $-Dedekind complete Banach lattice then, every almost limited operator $T:E\rightarrow F $ is weakly…

泛函分析 · 数学 2014-03-17 A. Elbour , N. Machrafi , M. Moussa

Let WAP(A) be the space of all weakly almost periodic functionals on a Banach algebra A. The Banach algebra A for which the natural embedding of A into WAP(A)* is bounded below is called a WAP-algebra. We show that the second dual of a…

泛函分析 · 数学 2015-01-27 Bahram Khodsiani , Ali Rejali

This article presents three characterizations of the weak factorization systems on finitely complete categories that interpret intensional dependent type theory with Sigma-, Pi-, and Id-types. The first characterization is that the weak…

范畴论 · 数学 2019-06-04 Paige Randall North

We give an introduction to the theory of weak Hopf algebras proposed recently as a coassociative alternative of weak quasi-Hopf algebras. We follow an axiomatic approach keeping as close as possible to the "classical" theory of Hopf…

量子代数 · 数学 2007-05-23 G. Bohm , F. Nill , K. Szlachanyi

By a reduction method, the limiting weak-type behaviors of factional maximal operators and fractional integrals are established without any smoothness assumption on the kernel, which essentially improve and extend previous results. As a…

经典分析与常微分方程 · 数学 2020-09-15 Guoping Zhao , Weichao Guo

The influence of bond randomness on long range magnetic ordering in the weakly coupled S = 1/2 antiferromagnetic spin chain materials Cu(py)2(Cl1-xBrx)2 is studied by muon spin rotation and bulk measurements. Disorder is found to have a…

强关联电子 · 物理学 2012-12-04 M. Thede , F. Xiao , Ch. Baines , C. Landee , E. Morenzoni , A. Zheludev

It is consistent that there is a partial order (P,<) of size aleph_1 such that every monotone (unary) function from P to P is first order definable in (P,<). The partial order is constructed in an extension obtained by finite support…

逻辑 · 数学 2016-09-07 Martin Goldstern , Saharon Shelah

We consider a general class of intermittent maps designed to be weakly chaotic, i.e., for which the separation of trajectories of nearby initial conditions is weaker than exponential. We show that all its spatio and temporal properties,…

混沌动力学 · 物理学 2014-01-17 Roberto Venegeroles

We use representations of operator systems as quotients to deduce various characterisations of the weak expectation property (WEP) for C?*-algebras. By Kirchberg's work on WEP, these results give new formulations of Connes' embedding…

算子代数 · 数学 2013-07-04 Douglas Farenick , Ali S. Kavruk , Vern I. Paulsen , Ivan G. Todorov

The small object argument is a transfinite construction which, starting from a set of maps in a category, generates a weak factorisation system on that category. As useful as it is, the small object argument has some problematic aspects: it…

范畴论 · 数学 2011-10-17 Richard Garner

We present a relatively simple description of binary, definable subsets of models of weakly quasi-o-minimal theories. In particular, we closely describe definable linear orders and prove a weak version of the monotonicity theorem. We also…

逻辑 · 数学 2021-06-01 Slavko Moconja , Predrag Tanović