Associative spectra of graph algebras II

Author:

Lehtonen ErkkoORCID,Waldhauser TamásORCID

Abstract

AbstractA 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.

Funder

Fundação para a Ciência e a Tecnologia

Nemzeti Kutatási, Fejlesztési és Innovaciós Alap

Ministry for Innovation and Technology, Hungary

University of Szeged Open Access Fund

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference6 articles.

1. Csákány, B., Waldhauser, T.: Associative spectra of binary operations. Mult.-Valued Log. 5, 175–200 (2000)

2. Lehtonen, E., Waldhauser, T.: Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs. J. Algebraic Combin. 53, 613–638 (2021)

3. Liebscher, S., Waldhauser, T.: On associative spectra of operations. Acta Sci. Math. (Szeged) 75, 433–456 (2009)

4. Pöschel, R.: Graph algebras and graph varieties. Algebra Universalis 27, 559–577 (1990)

5. Shallon, C.R.: Non-finitely based binary algebras derived from lattices. Ph.D. thesis. University of California, Los Angeles (1979)

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