Polynomial identities for quivers via incidence algebras
Abstract We show that the path algebra of a quiver satisfies the same polynomial identities (PI) of an algebra of matrices, if any. In particular, the algebra of n×n$n\times n$ matrices is PI‐equivalent to the path algebra of the oriented cycle with n$n$ vertices.
Allan Berele +3 more
wiley +1 more source
On Partial Groupoids Associated with the Composition of Multilayer Feedforward Neural Networks
In this work, partial groupoids are constructed associated with compositions of multilayer neural networks of direct signal distribution (hereinafter simply neural networks). The elements of these groupoids are tuples of a special type. Specifying such a
A.V. Litavrin, T. V. Moiseenkova
doaj +1 more source
Polymatroidal tilings and the Chow class of linked projective spaces
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley +1 more source
Cuntz-Krieger algebras and endomorphisms of finite direct sums of type I$_{\infty }$ factors [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SEIBERG–WITTEN EQUATIONS FROM FEDOSOV DEFORMATION QUANTIZATION OF ENDOMORPHISM BUNDLE
It is shown how Seiberg–Witten equations can be obtained by means of Fedosov deformation quantization of endomorphism bundle and the corresponding theory of equivalences of star products.
MICHAŁ DOBRSKI
core +1 more source
Cambrian combinatorics on quiver representations (type A)
This paper presents a geometric model of the Auslander-Reiten quiver of a type A quiver together with a stability function for which all indecomposable modules are stable.
Barnard, Emily +3 more
core +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
Endomorphisms of a variety of Ueno type and Kawaguchi–Silverman conjecture
In this paper, we first show that the monoid of separable surjective self-morphisms of a variety of Ueno type coincides with the group of automorphisms. We also give an explicit description of the automorphism group. As applications, we confirm Kawaguchi–Silverman conjecture for automorphisms of a variety of Ueno type and some Calabi–Yau three-fold ...
openaire +3 more sources
On endomorphism algebras of $\textup{GL}_{2}$-type abelian varieties and Diophantine applications
Let f and g be two different newforms without complex multiplication having the same coefficient field.
Franco Golfieri Madriaga +2 more
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A Quillen-Gersten type spectral sequence for the K-theory of schemes with endomorphisms
The author of this paper establishes a Quillen-Gersten type spectral sequence for the \(K\)-theory of schemes with endomorphisms and proves an analogue of Gersten's conjecture in the \(K\)-theory of schemes with endomorphisms for the equal characteristic case.
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