Results 31 to 40 of about 18,810 (231)

Automorphisms of free braided nonassociative algebras of rank 2

Қарағанды университетінің хабаршысы. Математика сериясы
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip, B.A. Duisengaliyeva, A.S. Naurazbekova   +2 more
doaj   +1 more source

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

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

Automorphism groups of rational surfaces [PDF]

, 2020
In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms.
Uehara, Takato
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

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

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

Hereditary conjugacy separability of right angled Artin groups and its applications

, 2012
We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
core   +1 more source

Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls

, 2021
The object of this article is associate to automorphism-invariant modules that are invariant under any automorphism of their injective hulls with cyclic modules and cyclic modules have cyclic automorphism-invariant hulls.
KOŞAN, MUHAMMET TAMER, Truong Cong Quynh, Truong Cong Quynh   +1 more
core   +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