Results 41 to 50 of about 18,324 (228)

Some Classification Theorems and Endomorphisms in New Classes

Mathematics, 2023
Let ℧ be a prime ring of char(℧) ≠2 with its center Z. This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings.
Hafedh Alnoghashi, Amal S. Alali, Emine Koc Sogutcu, Nadeem ur Rehman, Faez A. Alqarni   +4 more
doaj   +1 more source

Symmetry in complex networks [PDF]

, 2008
We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J., Anderson, James W., MacArthur, Ben D.   +2 more
core   +1 more source

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

Primitive ideals and automorphisms of quantum matrices. [PDF]

, 2007
Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H., S. Launois, T. H. Lenagan, Launois, Stephane   +3 more
core   +1 more source

A Criterion for Tameness and Wildness via Algebraicity and Jacobian Trace

Engineered Science
This article mainly deals with the Nagata polynomial automorphism. In 2004, I. P. Shestakov and U.U. Umirbaev proved that the Nagata automorphism is wild, that is, it is not a superposition of elementary polynomial automorphisms.
Rashid Kerimbayev, Lazat Spankulova
doaj   +1 more source

Flexible varieties and automorphism groups [PDF]

, 2013
Given an irreducible affine algebraic variety X of dimension n≥2 , we let SAut(X) denote the special automorphism group of X , that is, the subgroup of the full automorphism group Aut(X) generated by all one-parameter unipotent subgroups. We show that
Flenner, H., Arzhantsev, I., Kutzschebauch, F., Kaliman, S., Zaidenberg, M.   +4 more
core   +2 more sources

Algebraic Polynomial Automorphisms and Classical Examples

Engineered Science
We define an algebraic polynomial automorphism as an automorphism satisfying a monic polynomial identity in the endomorphism ring, in analogy with the Cayley–Hamilton theorem.
Rashid Kerimbayev
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Solutions and Stability of Generalized Kannappan’s and Van Vleck’s Functional Equations

Annales Mathematicae Silesianae, 2018
We study the solutions of the integral Kannappan’s and Van Vleck’s functional equations ∫Sf(xyt)dµ(t)+∫Sf(xσ(y)t)dµ(t)= 2f(x)f(y), x,y ∈ S; ∫Sf(xσ(y)t)dµ(t)-∫Sf(xyt)dµ(t)= 2f(x)f(y), x,y ∈ S; where S is a semigroup, σ is an involutive automorphism of S ...
Elqorachi Elhoucien, Redouani Ahmed
doaj   +1 more source