Unital algebra structure and generalized algebra norms

TL;DR

This paper introduces a generalized algebra norm for real finite-dimensional unital associative algebras, providing new invariants that enhance the ability to distinguish algebra structures computationally.

Contribution

It proposes a new generalized algebra norm and associated invariants that improve the classification and analysis of algebra structures.

Findings

New algebra invariants introduced

Invariants are computationally accessible

Enhances algebra structure differentiation

Abstract

We present a generalization of the notion of an algebra norm relevant to real finite-dimensional unital associative algebras. Among other things, this leads to a novel set of algebra isomorphism invariants, some of which are computationally straightforward in general, thereby augmenting the recognized accessible distinguishing features of algebra structure.