Results 41 to 50 of about 838 (163)
Lattices of homomorphisms [PDF]
AbstractGiven a variety K of lattice-ordered algebras, A ∈ K is catalytic if for all B ∈ K, K(A, B) is a lattice for the pointwise order. The catalytic objects are determined for various varieties of distributive-lattice-ordered algebras. The characterisations obtained do not show an overall unity and exhibit diverse behaviour.
Davey, B, Priestley, H
openaire +3 more sources
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras
Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras ...
M. Eshaghi Gordji, Z. Alizadeh
doaj +1 more source
Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
doaj +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source
Fredholm Theory Relative to Any Algebra Homomorphisms
In this paper, we give another definition of Ruston elements and almost Ruston elements, which is equivalent to the definitions given by Mouton and Raubenheimer in the case that the homomorphism has a closed range and Riesz property.
Yingying Kong, Yabo Wang, Jingen Yang
doaj +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
The motive of the Hilbert scheme of points in all dimensions
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo +3 more
wiley +1 more source
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
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

