Results 111 to 120 of about 55,047 (231)
About the Algebraic Yuzvinski Formula
Topological 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
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Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem [PDF]
, 2017 Fix an ordinary abelian variety defined over a finite field. The ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with same endomorphism ring, by complex multiplication.
Jetchev, Dimitar, Wesolowski, Benjamin
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Endomorphism algebras of QM abelian surfaces
, 2013 We determine endomorphism algebras of abelian surfaces with quaternion multiplication.Comment: 14 pages.
Yu, Chia-Fu
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Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
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Nilradicals of skew Hurwitz series of rings
Le Matematiche, 2015 For a ring endomorphism α of a ring R, Krempa called α a rigid endomorphism if aα(a)=0 implies a = 0 for a in R. A ring R is called rigid if there exists a rigid endomorphism of R.
Morteza Ahmadi +2 more
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Computing the Scale of an Endomorphism of a totally Disconnected Locally Compact Group
Axioms, 2017 The scale of an endomorphism of a totally disconnected, locally compact group G is defined and an example is presented which shows that the scale function is not always continuous with respect to the Braconnier topology on the automorphism group of G ...
George A. Willis
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Some homological criteria for regular, complete intersection and Gorenstein rings [PDF]
, 2013 Regularity, complete intersection and Gorenstein properties of a local ring can be characterized by homological conditions on the canonical homomorphism into its residue field (Serre, Avramov, Auslander). It is also known that in positive characteristic,
Majadas, Javier
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Mathematika, Volume 71, Issue 4, October 2025.Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
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The conjugacy problem for ascending HNN‐extensions of free groups
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
wiley +1 more source
On (σ, δ)(S, 1) rings and their extensions [PDF]
Mathematica Moravica, 2017 Let R be a ring, σ an endomorphism of R and δ a σ derivation of R. We recall that R is called an (S, 1)-ring if for a, b _ R, ab = 0 implies aRb = 0. We involve σ and δ to generalize this notion and say that R is a (σ, δ) - (S, 1) ring if for a, b _ R ...
Bhat Kumar Vijay
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