Results 11 to 20 of about 80,953 (208)

Automorphisms and Inner Automorphisms [PDF]

open access: yesJournal of Mathematics, 2016
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
doaj   +3 more sources

Automorphisms of Dihedral-Like Automorphic Loops [PDF]

open access: yesCommunications in Algebra, 2015
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
openaire   +2 more sources

Automorphisms of Submanifolds [PDF]

open access: yesAdvances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová   +1 more
openaire   +3 more sources

Cluster automorphisms [PDF]

open access: yesProceedings of the London Mathematical Society, 2012
35 pages, v2 final version, to appear in Proc.
Assem, Ibrahim   +2 more
openaire   +2 more sources

Cluster automorphisms and quasi-automorphisms

open access: yesAdvances in Applied Mathematics, 2019
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
openaire   +4 more sources

On the Automorphisms of a Sfield [PDF]

open access: yesProceedings of the National Academy of Sciences, 1949
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.
openaire   +3 more sources

Automorphisms of Curves

open access: yesJournal of Nonlinear Mathematical Physics, 2021
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
openaire   +1 more source

Approximation of induced automorphisms and special automorphisms [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
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.
openaire   +2 more sources

Automorphisms of Automorphism Groups of Free Groups

open access: yesJournal of Algebra, 2000
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
openaire   +2 more sources

Endomorphisms of Some Groupoids of Order $k+k^2$

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
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
doaj   +1 more source

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