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Automorphisms and Inner Automorphisms
Published 2016-01-01“…Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by using the classical theorem of Skolem-Noether. …”
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On extending endomorphisms to automorphisms
Published 1988-01-01“…A monic endomorphism of a structure A can be extended to an automorphism of a larger structure A*. We investigate which properties are preserved by this process.…”
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On the group of automorphisms of Horikawa surfaces
Published 2024-05-01“…In this note the group of automorphisms of Horikawa surfaces is studied. The main result states that given an admissible pair $(K^2, \chi )$ such that $K^2=2\chi -6$, every irreducible component of Gieseker’s moduli space $\mathfrak{M}_{K^2,\chi }$ contains an open subset consisting of surfaces with group of automorphisms isomorphic to $\mathbb{Z}_2$.…”
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Identities with derivations and automorphisms on semiprime rings
Published 2005-01-01“…Mayne proved that in case there exists a nontrivial centralizing automorphism on a prime ring, then the ring is commutative. …”
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Coleman Automorphisms of Some Metabelian Groups
Published 2022-01-01“…In this study, the approach is through the projective limits, and we obtain some characterizations of the Coleman automorphism groups of a split metabelian group and a generalized dicyclic group. …”
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Almost Automorphic Random Functions in Probability
Published 2014-01-01“…We introduce the notion of almost automorphic random functions in probability. Some basic and fundamental properties of such functions are established.…”
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Mixed automorphic forms and differential equations
Published 1990-01-01Subjects: “…mixed automorphic forms…”
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The criteria for automorphisms on finite-dimensional algebras
Published 2024-11-01Subjects: Get full text
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A Characterization of Planar Mixed Automorphic Forms
Published 2011-01-01“…We characterize the functional space of the planar mixed automorphic forms with respect to an equivariant pair and given lattice as the image of the Landau automorphic forms (involving special multiplier) by an appropriate isomorphic transform.…”
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Automorphisms of Regular Wreath Product 𝑝-Groups
Published 2009-01-01“…We present a useful new characterization of the automorphisms of the regular wreath product group 𝑃 of a finite cyclic 𝑝-group by a finite cyclic 𝑝-group, for any prime 𝑝, and we discuss an application. …”
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A note on one-parameter groups of automorphisms
Published 1990-01-01Subjects: “…automorphism groups…”
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Unitary $L^{p+}$-representations of almost automorphism groups
Published 2024-05-01“…We deduce the following consequence for a large natural class of almost automorphism groups $G$ of trees: For every $p \in (2,\infty )$, the group $G$ has a unitary $L^{p+}$-representation that is not an $L^{q+}$-representation for any $q < p$. …”
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Finite Groups Which Are the Union of Autocentralizers of Some Automorphisms
Published 2022-01-01“…Let α be an automorphism of a given group G; then, CGα=g∈G|αg=g is called the autocentralizer of α in G. …”
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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
Published 2005-01-01“…We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan derivation on such an algebra is a derivation.…”
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On a functional equation related to an automorphism of a unit circle
Published 2023-09-01Subjects: Get full text
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Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations
Published 2013-01-01“…This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. …”
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Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
Published 2024-01-01“…We prove that each linear 2-local automorphism of Ln,m is an automorphism.…”
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Salem numbers of automorphisms of K3 surfaces with Picard number $4$
Published 2023-12-01Subjects: Get full text
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