Results 111 to 120 of about 153,244 (275)
A characterization of the canonical extension of Boolean homomorphisms [PDF]
arXiv, 2017 This article aims to obtain a characterization of the canonical extension of Boolean homomorphisms through the Stone-\v{C}ech compactification. Then, we will show that one-to-one homomorphisms and onto homomorphisms extend to one-to-one homomorphisms and onto homomorphisms, respectively.
arxiv
When do homomorphism counts help in query algorithms? [PDF]
arXiv, 2023 A query algorithm based on homomorphism counts is a procedure for determining whether a given instance satisfies a property by counting homomorphisms between the given instance and finitely many predetermined instances. In a left query algorithm, we count homomorphisms from the predetermined instances to the given instance, while in a right query ...
arxiv
Aequationes Mathematicae, 1992 We present a survey of ideas and results stemming from the following stability problem of S. M. Ulam. Given a groupG1, a metric groupG2 and e > 0, find δ > 0 such that, iff: G1 →G2 satisfiesd(f(xy),f(x)f(y)) ⩽ δ for allx, y ∈G1, then there exists a homomorphismg: G1 →G2 such thatd(f(x),g(x))⩽e for allx ∈ Gl.
Hyers, Donald H. +1 more
openaire +2 more sources
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Simple closed curves, non‐kernel homology and Magnus embedding
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley +1 more source
Secure cloud computations: Description of (fully)homomorphic ciphers within the P-adic model of encryption [PDF]
arXiv, 2016 In this paper we consider the description of homomorphic and fully homomorphic ciphers in the $p$-adic model of encryption. This model describes a wide class of ciphers, but certainly not all. Homomorphic and fully homomorphic ciphers are used to ensure the credibility of remote computing, including cloud technology. The model describes all homomorphic
arxiv
On Rainbow Turán Densities of Trees
Random Structures &Algorithms, Volume 66, Issue 3, May 2025.ABSTRACT For a given collection 𝒢=(G1,…,Gk) of graphs on a common vertex set V$$ V $$, which we call a graph system, a graph H$$ H $$ on a vertex set V(H)⊆V$$ V(H)\subseteq V $$ is called a rainbow subgraph of 𝒢 if there exists an injective function ψ:E(H)→[k]$$ \psi :E(H)\to \left[k\right] $$ such that e∈Gψ(e)$$ e\in {G}_{\psi (e)} $$ for each e∈E(H)$$
Seonghyuk Im +3 more
wiley +1 more source
Equality of skew Schur functions in noncommuting variables
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1415-1428, May 2025.Abstract The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li, and van Willigenburg introduced skew Schur functions in noncommuting variables, s(δ,D)$s_{(\delta,\mathcal {D})}$, where D$\mathcal {D}$ is a connected skew diagram with n$n ...
Emma Yu Jin, Stephanie van Willigenburg
wiley +1 more source
Jordan Homomorphisms of Rings [PDF]
Transactions of the American Mathematical Society, 1950 The primary aim of this paper is to study mappings J of rings that are additive and that satisfy the conditions $$ {\left( {{a^2}} \right)^J} = {\left( {{a^J}} \right)^2},\;{\left( {aba} \right)^J} = {a^J}{b^J}{a^J} $$ (1) Such mappings will be called Jordan homomorphisms. If the additive groups admit the operator 1/2 in the sense that 2x = a
Nathan Jacobson, C. E. Rickart
openaire +1 more source
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source