Transformations between Menger systems

Autor: Gabriele Ricci
Rok vydání: 2008
Předmět:
Zdroj: Demonstratio Mathematica. 41
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0120
Popis: To define transformations between based universal algebras we must introduce representations that depend on the bases, contrary to what was possible for general vector spaces and believed possible for universal algebras. In fact, a counterexample shows that by representation-free transformations alone one cannot even ascertain whether a universal algebra has any dimension or not.A transformation notion, which can do, concerns basis dependent Menger systems. It enjoys a basic geometric property of universal algebras, the preservation of reference flocks, and generalizes the transformation groups of Linear Algebra into groupoids.
Databáze: OpenAIRE