Relatively free semigroups of intermediate growth

DOI10.1006/jabr.2000.8503zbMath0971.20036OpenAlexW2005735230MaRDI QIDQ5925842

Shneerson, L. M.

Publication date: 28 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8503

zbMATH Keywords

Gelfand-Kirillov superdimensiongrowth of finitely generated semigroupsgrowth ratesidentitiesintermediate growthpolynomial growthrelatively free semigroupsvarieties of 2-nilpotent semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Growth rate, Gelfand-Kirillov dimension (16P90) Free semigroups, generators and relations, word problems (20M05)

Related Items (12)

On Semigroups of Intermediate Growth ⋮ On the 3-state Mealy automata over an \(m\)-symbol alphabet of growth order \([n^{\log n/2\log m}\).] ⋮ Growth, relations and prime spectrum of monomial algebras ⋮ A MEALY MACHINE WITH POLYNOMIAL GROWTH OF IRRATIONAL DEGREE ⋮ Growth, unavoidable words, and M. Sapir's conjecture for semigroup varieties. ⋮ Polynomial growth in semigroup varieties. ⋮ Groups acting on semimetric spaces and quasi-isometries of monoids ⋮ ON THE SUPERDIMENSIONS OF RELATIVELY FREE NILPOTENT SEMIGROUPS ⋮ Growth of permutational extensions. ⋮ Sublinear time algorithms in the theory of groups and semigroups. ⋮ TYPES OF GROWTH AND IDENTITIES OF SEMIGROUPS ⋮ On growth, identities and free subsemigroups for inverse semigroups of deficiency one

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