Results 21 to 30 of about 18,810 (231)
On the Automorphisms of a Sfield [PDF]
Proceedings 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
Perfect matching transitivity of circulant graphs.
Electronic Journal of Graph Theory and Applications, 2022 A graph G is perfect matching transitive, shortly PM-transitive, if for any two perfect matchings M1 and M2 of G, there is an automorphism f : V(G)↦V(G) such that fe(M1)=M2, where fe(uv)=f(u)f(v).
Isaac Armando Reiter, Ju Zhou
doaj +1 more source
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
openaire +2 more sources
Automorphisms of Submanifolds [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová +1 more
openaire +3 more sources
∇-prime rings and their commutativity
Journal of Taibah University for Science, 2023 Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text ...
Mohammad Aslam Siddeeque +1 more
doaj +1 more source
Braiding groups of automorphisms and almost-automorphisms of trees
Canadian Journal of Mathematics, 2023 AbstractWe introduce “braided” versions of self-similar groups and Röver–Nekrashevych groups, and study their finiteness properties. This generalizes work of Aroca and Cumplido, and the first author and Wu, who considered the case when the self-similar groups are what we call “self-identical.” In particular, we use a braided version of the Grigorchuk ...
Rachel Skipper, Matthew C. B. Zaremsky
openaire +3 more sources
Automorphism groups of compact complex surfaces [PDF]
, 2021 We study automorphism groups and birational automorphism groups of compactcomplex surfaces. We show that the automorphism group of such surface $X$ isalways Jordan, and the birational automorphism group is Jordan unless $X$ isbirational to a product of ...
Prokhorov, Y., Shramov, C.
core +1 more source
On automorphisms of biproducts [PDF]
Communications in Algebra, 2016 We study certain subgroups of the full group of Hopf algebra automorphisms of a biproduct. In the process interesting subgroups of certain permutation groups come into play.
openaire +2 more sources
Endomorphisms of the Toeplitz algebra
Учёные записки Казанского университета: Серия Физико-математические науки, 2023 This article describes all injective endomorphisms of the classical Toeplitz algebra. Their connection with endomorphisms of the algebra of continuous functions on the unit circle and with coverings over the unit circle was considered.
S. A. Grigoryan, A. Yu. Kuznetsova
doaj +1 more source
On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
doaj +1 more source