Unital algebra structure and generalized algebra norms
Fred Greensite

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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Photonic and Optical Devices
