Automorphisms of categories of free algebras of varieties

DOI10.1090/S1079-6762-02-00099-9zbMath0996.08008MaRDI QIDQ4547431

Grigory Mashevitzky, Eugene Plotkin, Boris I. Plotkin

Publication date: 21 August 2002

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225482

zbMATH Keywords

free algebracategoryautomorphismsalgebraic varietyvariety of algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Free algebras (08B20) Automorphisms and endomorphisms of algebraic structures (08A35) Categories of algebras (08C05) Foundations of algebraic geometry (14A99)

Related Items (21)

Multi-sorted logic, models, and logical geometry. ⋮ A Problem of B. Plotkin forS-Acts: Automorphisms of Categories of FreeS-Acts ⋮ Unnamed Item ⋮ Automorphisms of categories of free algebras of some varieties ⋮ Automorphisms of the category of free finitely generated algebras ⋮ A method of finding automorphism groups of endomorphism monoids of relational systems. ⋮ On automorphisms of categories with applications to universal algebraic geometry ⋮ Multi-sorted logic and logical geometry: some problems. ⋮ Automorphisms of the endomorphism semigroup of a polynomial algebra. ⋮ Automorphisms of the endomorphism semigroups of free linear algebras of homogeneous varieties ⋮ AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE ASSOCIATIVE ALGEBRA ⋮ ON AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE UNIVERSAL ALGEBRA ⋮ ON AUTOMORPHISMS OF CATEGORIES OF UNIVERSAL ALGEBRAS ⋮ SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY ⋮ Algebraic geometry for \(\ell \)-groups ⋮ AUTOMORPHISM GROUPS OF ENDOMORPHISM MONOIDS OF FREE G-SETS ⋮ Automorphisms of the category of free Lie algebras ⋮ Automorphisms of Endomorphism Monoids of 1-Simple Free Algebras ⋮ Automorphisms of the endomorphism semigroup of a free commutative dimonoid ⋮ Seven lectures on universal algebraic geometry ⋮ Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules∗

Cites Work

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• A question of B. Plotkin about the semigroup of endomorphisms of a free group
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• Endomorphisms of finite full transformation semigroups
• GEOMETRIC EQUIVALENCE OF ALGEBRAS
• Automorphisms of a Free Associative Algebra of Rank 2.I
• Automorphisms of the Unimodular Group

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