Growth, unavoidable words, and M. Sapir's conjecture for semigroup varieties.

DOI10.1016/j.jalgebra.2003.09.021zbMath1039.20034OpenAlexW2085217910WikidataQ123300432 ScholiaQ123300432MaRDI QIDQ1421814

Shneerson, L. M.

Publication date: 3 February 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.021

zbMATH Keywords

relatively free semigroupsfinitely generated semigroupsvarieties of semigroupsgrowth of semigroupssubexponential growth, intermediate growthsuperdimension of semigroupsZimin's sequence, unavoidable words

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

Related Items (4)

Semigroups of matrices of intermediate growth. ⋮ Polynomial growth in semigroup varieties. ⋮ ON THE SUPERDIMENSIONS OF RELATIVELY FREE NILPOTENT SEMIGROUPS ⋮ TYPES OF GROWTH AND IDENTITIES OF SEMIGROUPS

Cites Work

• Growth problems for avoidable words
• Avoidable patterns in strings of symbols
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• PROBLEMS OF BURNSIDE TYPE AND THE FINITE BASIS PROPERTY IN VARIETIES OF SEMIGROUPS
• Poincaré recurrence and number theory
• ON ADDITIONAL LAWS IN THE BURNSIDE PROBLEM ON PERIODIC GROUPS
• ALGORITHMIC PROBLEMS IN VARIETIES
• Relatively free semigroups of intermediate growth
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