Results 61 to 70 of about 64,055 (183)

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
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

open access: yesAbstract and Applied Analysis, 2012
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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
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]

open access: yesTransactions of the American Mathematical Society, 1992
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

Fixed and Residual Modules

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017
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

open access: yesJournal of Mathematics, 2023
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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
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]

open access: yesJournal of Mahani Mathematical Research
‎‎‎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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
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

open access: yesAbstract and Applied Analysis, 2010
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

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