2 papers
math.RA2026
The algebra of invariants of a complete path algebra
Samuel Quirino
We prove that the algebra of invariants of a complete path algebra under the action of a homogeneous group of continuous algebra automorphisms is a complete path algebra and preser…
math.GN2026
Automatic continuity for vector spaces with linear topology
Samuel Quirino, Lucas H. R. de Souza
In this paper we classify all topological vector spaces with linear topology with the property that all algebraic automorphisms are continuous. Moreover, we prove some properties o…