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Notation. For a positive integer n and a commutative ring R, we write R[n] to denote R
Z Z[n] =
R[X]=(n), where n denotes the nth cyclotomic polynomial. Thus, for R = Z[n] with n relatively pr...
For automorphisms of a polynomial ring in two variables over a domain R, we show that local tameness implies global tameness provided that every 2-generated invertible R-module is free. We give many e...
On the conjugacy problem for finite-state automorphisms of regular rooted trees
finite-state automorphisms regular rooted trees math
2010/11/15
We study the conjugacy problem in the automorphism group $Aut(T)$ of a regular rooted tree $T$ and in its subgroup $FAut(T)$ of finite-state automorphisms. We show that under the contracting conditio...
Let $A_{n}(S)$ be a coefficient free cluster algebra over a field $K$. A cluster automorphism is an element of $Aut._{K}K(t_{1}, t_{2},..., t_{n})$ which leaves the set of all cluster variables, $\xi_...
Faithful actions of automorphisms on the space of orderings of a group
the space of orderings of a group math
2010/11/18
We study the space of left-- and bi--invariant orderings on a torsion--free nilpotent group $G$. We will show that generally the set of such orderings is equipped with a faithful action of the automo...