Weak automorphisms of linear spaces and of some other abstract algebras
J. Dudek, E. Płonka (1971)
Colloquium Mathematicae
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Displaying similar documents to “On weak automorphisms of algebras having a basis”
Weak automorphisms of linear spaces and of some other abstract algebras
On weak automorphisms of universal algebras
R. James
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CONTENTSIntroduction.................................................................................................................... 5Section 1. The group of weak automorphisms...................................................... 6Section 2. Weak automorphisms of finitely generated free algebras................ 9Section 3. Representation of groups as weak automorphism groups ofalgebras............................................................................................................................
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This mainly expository article is devoted to recent advances in the study of dynamical aspects of the Cuntz algebras 𝓞ₙ, n < ∞, via their automorphisms and, more generally, endomorphisms. A combinatorial description of permutative automorphisms of 𝓞ₙ in terms of labelled, rooted trees is presented. This in turn gives rise to an algebraic characterization of the restricted Weyl group of 𝓞ₙ. It is shown how this group is related to certain classical dynamical systems on the Cantor...
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Commutative rings over which no endomorphism algebra has an outer automorphism are studied.
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K. Głazek (1970)
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Outer Automorphisms of Lie Algebras related with Generic 2×2 Matrices
Fındık, Şehmus (2012)
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2010 Mathematics Subject Classification: 17B01, 17B30, 17B40, 16R30. Let Fm = Fm(var(sl2(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0. Our results are more precise for m = 2 when F2 is isomorphic to the Lie algebra L generated by two generic traceless 2 × 2 matrices. We give a complete description of the group of outer automorphisms of the completion L^ of L with respect to...