Results 11 to 20 of about 80,953 (208)
Automorphisms and Inner Automorphisms [PDF]
Let K be a field of characteristic not 2 and let A=A0+A1 be central simple superalgebra over K, and let ⁎ be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by ...
Ameer Jaber, Moh’D Yasein
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Automorphisms of Dihedral-Like Automorphic Loops [PDF]
Automorphic loops are loops in which all inner mappings are automorphisms. A large class of automorphic loops is obtained as follows: Let $m$ be a positive even integer, $G$ an abelian group, and $α$ an automorphism of $G$ that satisfies $α^2=1$ if $m>2$.
Aboras, Mouna, Vojtěchovský, Petr
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Automorphisms of Submanifolds [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová +1 more
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35 pages, v2 final version, to appear in Proc.
Assem, Ibrahim +2 more
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Cluster automorphisms and quasi-automorphisms
We study the relation between the cluster automorphisms and the quasi-automorphisms of a cluster algebra $\mathcal{A}$. We proof that under some mild condition, satisfied for example by every skew-symmetric cluster algebra, the quasi-automorphism group of $\mathcal{A}$ is isomorphic to a subgroup of the cluster automorphism group of $\mathcal{A}_{triv}$
Wen Chang, Ralf Schiffler
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On the Automorphisms of a Sfield [PDF]
Le rapporteur a introduit la notion de semi-automorphisme d'un anneau \(A\) [J. Reine Angew. Math. 184, 193--198 (1942; Zbl 0027.12102)] comme une correspondance \(a \leftrightarrow a'\) biunivoque de \(A\) sur lui-même avec les propriétés (1) \((a+b)' = a' + b'\), (2) \((ab)' + (ba)' = a'b' + b'a'\); et a démontré [Ann. Math.
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Consider the family of smooth curves \(w^i=w^i(x)\), \(i=1,\dots m,\) in \(\mathbb R^{m+1}\). The aim of the paper is to study transformations of the form \(\overline{x}=F(x,\dots,w^j_s,\dots)\), \(\overline{w}^i=F^i(x,\dots,w^j_s,\dots)\) and their higher order derivatives \(\overline{w}^i_r=F^i_r(x,\dots,w^j_s,\dots)\), where \(w^j_s=\frac{d^sw^j}{dx^
Tryhuk, Václav, Chrastinová, Veronika
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Approximation of induced automorphisms and special automorphisms [PDF]
A class of measure-preserving invertible point transformations which admit approximations is defined. If T is an automorphism which admits an approximation, conditions are given such that an induced automorphism and a special automorphism over T again admit an approximation.
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Automorphisms of Automorphism Groups of Free Groups
The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
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Endomorphisms of Some Groupoids of Order $k+k^2$
Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
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