GROWTH OF GENERATING SETS FOR DIRECT POWERS OF CLASSICAL ALGEBRAIC STRUCTURES

DOI10.1017/S1446788710001473zbMath1204.08001OpenAlexW2116936907MaRDI QIDQ3164549

Martyn Quick, Nikola Ruškuc

Publication date: 28 October 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788710001473

zbMATH Keywords

growthasymptotic behaviourgenerating setsdirect productsuniversal algebraalgebraic structuresdirect powers

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Operations and polynomials in algebraic structures, primal algebras (08A40) Congruence modularity, congruence distributivity (08B10) Lie algebras and Lie superalgebras (17B99) Products, amalgamated products, and other kinds of limits and colimits (08B25)

Related Items (8)

GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS ⋮ Growth rates of algebras. III: Finite solvable algebras ⋮ On the growth of generating sets for direct powers of semigroups. ⋮ On classes of functions of many-valued logic with minimal logarithmic growth rate ⋮ A new formulation of a criterion for the minimal logarithmic growth rate ⋮ The size of generating sets of powers ⋮ Continuality of classes of functions in multivalued logic with minimal logarithmic growth rate ⋮ Growth rates of algebras, II: Wiegold dichotomy

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