Associative spectra of graph algebras IISatisfaction of bracketing identities, spectrum dichotomy

被引：0

作者：

Erkko Lehtonen

Tamás Waldhauser

机构：

[1] Universidade Nova de Lisboa,Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia

[2] University of Szeged,undefined

[3] Bolyai Institute,undefined

来源：

Journal of Algebraic Combinatorics | 2022年 / 55卷

关键词：

Associative spectrum; Graph algebra; DFS tree; Catalan number; 05C25; 03C05; 05C20; 20N02;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：533 / 557

页数：24

共 7 条

[1] Csákány B(2000)Associative spectra of binary operations Mult.-Valued Log. 5 175-200
[2] Waldhauser T(2021)Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs J. Algebraic Combin. 53 613-638
[3] Lehtonen E(2009)On associative spectra of operations Acta Sci. Math. (Szeged) 75 433-456
[4] Waldhauser T(1990)Graph algebras and graph varieties Algebra Universalis 27 559-577
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