Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules∗
DOI10.1080/00927870601115856zbMath1121.16023arXivmath/0505151OpenAlexW2044808013MaRDI QIDQ3435934
Yefim Katsov, Ruvim Lipyanski, Boris I. Plotkin
Publication date: 8 May 2007
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505151
automorphism groupsvarieties of universal algebrasuniversal algebraic geometrysemi-inner automorphismscongruences of finitely generated free algebrasfree Lie modulesfree modules over Lie algebrasfree semimodules over semirings
Noncommutative algebraic geometry (14A22) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Rings arising from noncommutative algebraic geometry (16S38) Module categories in associative algebras (16D90) Identities, free Lie (super)algebras (17B01) Semirings (16Y60) Automorphisms and endomorphisms of algebraic structures (08A35) Categories of algebras (08C05)
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Cites Work
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- Algebraic geometry over groups. I: Algebraic sets and ideal theory
- Algebraic geometry in varieties of algebras with the given algebra of constants
- Automorphisms of the category of free Lie algebras
- Some remarks on the invariant basis property
- Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
- Automorphisms of categories of free algebras of varieties