Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898010 | Linear Algebra and its Applications | 2018 | 29 Pages |
Abstract
Let R be a commutative, indecomposable ring with identity and (P,â¤) a partially ordered set. Let FI(P) denote the finitary incidence algebra of (P,â¤) over R. We will show that, in most cases, local automorphisms of FI(P) are actually R-algebra automorphisms. In fact, the existence of local automorphisms which fail to be R-algebra automorphisms will depend on the chosen model of set theory and will require the existence of measurable cardinals. We will discuss local automorphisms of cartesian products as a special case in preparation of the general result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jordan Courtemanche, Manfred Dugas, Daniel Herden,