Associative spectra of graph algebras II. Satisfaction of bracketing identities, spectrum dichotomy

Abstract

A necessary and sufficient condition is presented for a graph algebra to satisfy a bracketing identity. The associative spectrum of an arbitrary graph algebra is shown to be either constant or exponentially growing.

arXiv comment20 pages

References in corpus (3)

• On associative spectra of operations
• Associative spectra of binary operations
• Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs

Cited by in corpus (1)

• The associative-commutative spectrum of a binary operation