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Generative complexity in algebra

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Publication:3022810
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DOI10.1090/memo/0828zbMath1080.03016OpenAlexW2090407098MaRDI QIDQ3022810

Paweł M. Idziak, Joel D. Berman

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1090/memo/0828


zbMATH Keywords

locally finite varietiesfree spectraclassification of finite algebrasenumeration of finite algebras


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Asymptotic enumeration (05A16) Model theory of finite structures (03C13) Free algebras (08B20) Classification theory, stability, and related concepts in model theory (03C45) Equational classes, universal algebra in model theory (03C05)


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The fine- and generative spectra of varieties of monounary algebras ⋮ On finite Taylor algebras ⋮ Universal algebraic methods for non-classical logics ⋮ Varieties with few subalgebras of powers ⋮ Algebras defined from ordered sets and the varieties they generate ⋮ Generative complexity in semigroup varieties ⋮ The structure of locally finite varieties with polynomially many models ⋮ Upper bounds on the sizes of finitely generated algebras ⋮ ON FREE SPECTRA OF A CLASS OF FINITE INVERSE MONOIDS



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