AUTOMORPHISMS OF THE CATEGORY OF THE FREE NILPOTENT GROUPS OF THE FIXED CLASS OF NILPOTENCY

DOI10.1142/S021819670700413XzbMath1165.20027arXivmath/0509541OpenAlexW2088705526MaRDI QIDQ5386966

Arkady Tsurkov

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/0509541

zbMATH Keywords

varieties of groupsautomorphisms of categoriesgeometric equivalencesrelatively free nilpotent groupsautomorphic equivalences

Mathematics Subject Classification ID

Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Special properties of functors (faithful, full, etc.) (18A22) Free algebras (08B20) Categories of algebras (08C05) Category of groups (20J15)

Related Items (5)

Automorphic equivalence of many-sorted algebras ⋮ On automorphisms of categories with applications to universal algebraic geometry ⋮ Multi-sorted logic and logical geometry: some problems. ⋮ SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY ⋮ Automorphic equivalence in the varieties of representations of Lie algebras

Cites Work

• Automorphisms of categories of free algebras of some varieties
• Algebraic geometry in varieties of algebras with the given algebra of constants
• A question of B. Plotkin about the semigroup of endomorphisms of a free group
• ON AUTOMORPHISMS OF CATEGORIES OF UNIVERSAL ALGEBRAS
• AUTOMORPHIC EQUIVALENCE OF ALGEBRAS
• Unnamed Item

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