Results 71 to 80 of about 4,881 (233)
Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley +1 more source
Manifestly unitary higher Hilbert spaces
Abstract Higher idempotent completion gives a formal inductive construction of the n$n$‐category of finite‐dimensional n$n$‐vector spaces starting with the complex numbers. We propose a manifestly unitary construction of low‐dimensional higher Hilbert spaces, formally constructing the C∗$\mathrm{C}^*$‐3‐category of 3‐Hilbert spaces from Baez's 2 ...
Quan Chen +4 more
wiley +1 more source
Monoid Varieties with Extreme Properties
Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and, surprisingly, no finite monoid is known to generate a monoid variety with countably infinitely many subvarieties.
Lee, Edmond W. H., Jackson, Marcel
core +1 more source
Every group-embeddable monoid arises as the bimorphism monoid of some graph [PDF]
Generalizing results of Frucht and de Groot/Sabidussi, we demonstrate that every group-embeddable monoid is isomorphic to the bimorphism monoid of some graph.Mathematics Subject Classifications: 05C63, 20M30Keywords: Infinite graph theory, group ...
Dilley, Isaac K. +3 more
core +3 more sources
Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid
The fundamental role of algebraic properties in the development of the basics of computer science has led researchers to study the concepts of fuzzy automaton separatedness, connectedness, and reversibility on a large scale.In this paper, the general ...
khadijeh abolpour
doaj
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Given a seminormal affine monoid M we consider several monoid properties of M and their connections to ring properties of the associated affine monoid ring K[M] over a field K.
Li, Ping, Bruns, Winfried, Römer, Tim
core +1 more source
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana +2 more
doaj +1 more source
On the ET0L subgroup membership problem in bounded automata groups
Abstract We are interested in the subgroup membership problem in groups acting on rooted d$d$‐regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from the root. These rays, which can also be viewed as infinite words in the alphabet with d$d$ letters, form the boundary of the tree.
Alex Bishop +5 more
wiley +1 more source
On the atomicity of power monoids of Puiseux monoids
A submonoid of the additive group [Formula: see text] is called a Puiseux monoid if it consists of non-negative rationals. Given a monoid M, the set consisting of all non-empty finite subsets of M is also a monoid under the Minkowski sum, and it is called the (finitary) power monoid of M.
Victor Gonzalez +4 more
openaire +2 more sources

