ON AUTOMORPHISMS OF CATEGORIES OF UNIVERSAL ALGEBRAS

DOI10.1142/S0218196707004098zbMath1161.08003arXivmath/0411408OpenAlexW1989241301MaRDI QIDQ5386959

Boris I. Plotkin, Grigori I. Zhitomirski

Publication date: 14 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411408

zbMATH Keywords

free algebrasinner automorphismuniversal algebraic geometryderived operation

Mathematics Subject Classification ID

Free algebras (08B20) Categories of algebras (08C05)

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Cites Work

• Automorphisms of categories of free algebras of some varieties
• Algebraic geometry in varieties of algebras with the given algebra of constants
• Automorphisms of the category of free Lie algebras
• A question of B. Plotkin about the semigroup of endomorphisms of a free group
• Automorphisms of the Endomorphism Semigroup of a Free Inverse Semigroup
• Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules∗
• Automorphisms of categories of free algebras of varieties
• Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup