Results 61 to 70 of about 64,055 (183)
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Approximate 𝑛-Lie Homomorphisms and Jordan 𝑛-Lie Homomorphisms on 𝑛-Lie Algebras
Using fixed point methods, we establish the stability of 𝑛-Lie homomorphisms and Jordan 𝑛-Lie homomorphisms on 𝑛-Lie algebras associated to the following generalized Jensen functional equation ∑𝜇𝑓(𝑛𝑖=1𝑥𝑖∑/𝑛)+𝜇𝑛𝑗=2∑𝑓(𝑛𝑖=1,𝑖≠𝑗𝑥𝑖−(𝑛−1)𝑥𝑗/𝑛)=𝑓(𝜇𝑥1)(𝑛≥2).
M. Eshaghi Gordji, G. H. Kim
doaj +1 more source
On virtual chirality of 3‐manifolds
Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
wiley +1 more source
Weakly Compact Homomorphisms [PDF]
The authors study weakly compact homomorphisms \(\theta\) from a Banach algebra \(A\) to a Banach algebra \(B\) and prove that under certain conditions on \(A\) and \(B\) the range of \(\theta\) is finite-dimensional and semisimple. It is so when \(A\) is a \(C^*\)-algebra, or when \(A\) is amenable, all irreducible representations of \(B\) are finite ...
Galé, J. E. +2 more
openaire +2 more sources
The article deals with the properties of fixed and residual endomorphism submodules of modules over arbitrary associative rings with 1. It is shown how they can be used to represent formal matrices images of group homomorphisms generated by elementary ...
В. М. Петерчук +1 more
doaj +1 more source
Formulas for the Number of Weak Homomorphisms from Paths to Ladder Graphs and Stacked Prism Graphs
Let G and H be graphs. A mapping f from VG to VH is called a weak homomorphism from G to H if fx=fy or fx,fy∈EH whenever x,y∈EG. A ladder graph is the Cartesian product of two paths, where one of the paths has only one edge.
Hatairat Yingtaweesittikul +2 more
doaj +1 more source
Non‐amenability of mapping class groups of infinite‐type surfaces and graphs
Abstract This paper completely determines the non‐amenability of the mapping class groups of infinite‐type surfaces, the mapping class groups of locally finite infinite graphs of higher ranks, gives an example of non‐amenable stabiliser of a point at infinity of a coarsely bounded generated hyperbolic Polish group, and exhibits a class of mapping class
Yusen Long
wiley +1 more source
Algebra fuzzy norms generated by homomorphisms [PDF]
As a new approach, for a nonzero normed algebra $A$, we will define some different classes of algebra fuzzy norms on $A$ generated by homomorphisms and continuous homomorphisms.
Ali Reza Khoddami, Fatemeh Kouhsari
doaj +1 more source
A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley +1 more source
Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of ...
Madjid Eshaghi Gordji
doaj +1 more source

