Results 81 to 90 of about 153,244 (275)
Extensions of Johnson's and Morita's homomorphisms that map to finitely generated abelian groups
We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Morita homomorphism to a crossed homomorphism from the mapping class group of
Corwin L. J.+2 more
core +1 more source
The Generic Circular Triangle‐Free Graph
ABSTRACT In this article, we introduce the generic circular triangle‐free graph C 3 ${{\mathbb{C}}}_{3}$ and propose a finite axiomatization of its first‐order theory. In particular, our main results show that a countable graph G $G$ embeds into C 3 ${{\mathbb{C}}}_{3}$ if and only if it is a { K 3 , K 1 + 2 K 2 , K 1 + C 5 , C 6 } $\{{K}_{3},{K}_{1}+2{
Manuel Bodirsky, Santiago Guzmán‐Pro
wiley +1 more source
Is Euler’s circle a symbol or an icon?
The most familiar scheme of diagrams used in logic is known as Euler’s circles. It is named after the mathematician Leonhard Euler who popularized it in his Letters to a German Princess (1768).
Amirouche Moktefi
doaj +1 more source
Verifiable encodings in multigroup fully homomorphic encryption [PDF]
This article presents the application of homomorphic authenticators, replication encodings to be precise, to multigroup fully homomorphic encryption schemes. Following the works of Gennaro and Wichs on homomorphic authenticators in combination with the work of multigroup schemes by Kwak et al.
arxiv
On the Van Est homomorphism for Lie groupoids [PDF]
The Van Est homomorphism for a Lie groupoid $G \rightrightarrows M$, as introduced by Weinstein-Xu, is a cochain map from the complex $C^\infty(BG)$ of groupoid cochains to the Chevalley-Eilenberg complex $C(A)$ of the Lie algebroid $A$ of $G$.
David Li-Bland, E. Meinrenken
semanticscholar +1 more source
Smooth homomorphisms admit noetherian reductions [PDF]
We give a short proof that any smooth (means formally smooth and finitely presented) homomorphism of rings can be obtained by base change from a smooth homomorphism of noetherian rings. Together with the elegant short proof by J. Conde-Lago that smooth homomorphisms of noetherian rings are flat, this gives a short and elementary proof of the theorem of
arxiv
We introduce and study a notion of pureness for *-homomorphisms and, more generally, for cpc. order-zero maps. After providing several examples of pureness, such as "$\mathcal{Z}$-stable"-like maps, we focus on the question of when pure maps factor through a pure C*-algebra.
Joan Bosa, Eduard Vilalta
openaire +4 more sources
AbstractThe study of homomorphic encryption techniques has led to significant advancements in the computing domain, particularly in the sphere of cloud computing. Homomorphic encryption provides a means for securely transmitting and storing confidential information across and in a computer system.
Ogburn, Monique+2 more
openaire +1 more source
Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups
In classical group theory, homomorphism and isomorphism are significant to study the relation between two algebraic systems. Through this article, we propose neutro-homomorphism and neutro-isomorphism for the neutrosophic extended triplet group (NETG ...
Mehmet Çelik+2 more
semanticscholar +1 more source
Tight Bounds for Graph Homomorphism and Subgraph Isomorphism
We prove that unless Exponential Time Hypothesis (ETH) fails, deciding if there is a homomorphism from graph G to graph H cannot be done in time |V(H)|o(|V(G)|).
Marek Cygan+6 more
semanticscholar +1 more source