Results 21 to 30 of about 80,402 (184)
Cluster automorphisms and quasi-automorphisms
Advances 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 $\mathcal{A}_{triv}$
Chang, Wen, Schiffler, Ralf
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A unified model of the standard genetic code [PDF]
Royal Society Open Science, 2017 The Rodin–Ohno (RO) and the Delarue models divide the table of the genetic code into two classes of aminoacyl-tRNA synthetases (aaRSs I and II) with recognition from the minor or major groove sides of the tRNA acceptor stem, respectively.
Marco V. José +2 more
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Coordinates and Automorphisms of Polynomial and Free Associative Algebras of Rank Three [PDF]
, 2006 We study z-automorphisms of the polynomial algebra K[x,y,z] and the free associative algebra K over a field K, i.e., automorphisms which fix the variable z. We survey some recent results on such automorphisms and on the corresponding coordinates.
Drensky, Vesselin, Yu, Jie-Tai
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On the classification of automorphisms of trees [PDF]
, 2018 We identify the complexity of the classification problem for automorphisms of a given countable regularly branching tree up to conjugacy. We consider both the rooted and unrooted cases.
Beserra, Kyle, Coskey, Samuel
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Automorphisms of Automorphism Groups of Free Groups
Journal 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
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Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I
Известия Иркутского государственного университета: Серия "Математика"Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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Interval Valued D-Implications
Trends in Computational and Applied Mathematics, 2009 The aim of this work is to introduce the concepts of interval Dimplicationsand automorphisms, analyzing their main properties and establishingthe relation between them.
R.H.S. Reiser +3 more
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Approximation of induced automorphisms and special automorphisms [PDF]
Proceedings 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.
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Automorphisms of the UHF algebra that do not extend to the Cuntz algebra
, 2010 Automorphisms of the canonical core UHF-subalgebra F_n of the Cuntz algebra O_n do not necessarily extend to automorphisms of O_n. Simple examples are discussed within the family of infinite tensor products of (inner) automorphisms of the matrix algebras
Cuntz, Evans, Power, ROBERTO CONTI
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On the operator equation α+α−1=β+β−1
International Journal of Mathematics and Mathematical Sciences, 1986 Let α,β be ∗-automorphisms of a von Neumann algebra M satisfying the operator equation α+α−1=β+β−1. In this paper we use new techniques (which are useful in noncommutative situations as well) to provide alternate proofs of the results:- If α,β commute ...
A. B. Thaheem
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