Results 71 to 80 of about 487 (185)

About the Algebraic Yuzvinski Formula

open access: yesTopological Algebra and its Applications, 2015
The Algebraic Yuzvinski Formula expresses the algebraic entropy of an endomorphism of a finitedimensional rational vector space as the Mahler measure of its characteristic polynomial.
Bruno Anna Giordano, Virili Simone
doaj   +1 more source

Polynomial identities for quivers via incidence algebras

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
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

The Supersingular Endomorphism Ring and One Endomorphism Problems are Equivalent

open access: yes
The supersingular Endomorphism Ring problem is the following: given a supersingular elliptic curve, compute all of its endomorphisms. The presumed hardness of this problem is foundational for isogeny-based cryptography. The One Endomorphism problem only asks to find a single non-scalar endomorphism.
Page, Aurel, Wesolowski, Benjamin
openaire   +4 more sources

Polymatroidal tilings and the Chow class of linked projective spaces

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
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

The join of split graphs whose completely regular endomorphisms form a monoid

open access: yesOpen Mathematics, 2017
In this paper, completely regular endomorphisms of the join of split graphs are investigated. We give conditions under which all completely regular endomorphisms of the join of two split graphs form a monoid.
Hou Hailong, Song Yanhua, Gu Rui
doaj   +1 more source

Manifestly unitary higher Hilbert spaces

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
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

Nilpotency in endomorphism rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
Nil subrings of the endomorphism ring of a module with finite Krull dimension sequence are nilpotent. This includes the case of a module with finite Krull dimension as well as noetherian modules. The method used is to embed the endomorphism ring, modulo a nilpotent ideal, in the endomorphism ring of an artinian object of a Grothendieck category.
openaire   +1 more source

Weak ω-Approximate Biprojectivity of Banach Algebras

open access: yesJournal of Mathematics
For a given Banach algebra M and a continuous endomorphism ω on M, we define weakly ω-approximately biprojective and weakly ω-approximately Helemskii biflat Banach algebras.
Zahra Ghorbani
doaj   +1 more source

Which singular tangent bundles are isomorphic?

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

On geometry of sub-Riemannian η-Einstein manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2019
On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
doaj   +1 more source

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