Automorphisms and derivations of affine commutative and PI-algebras
DOI10.1090/tran/9071arXiv2211.10781MaRDI QIDQ6138036
Anatoliy P. Petravchuk, Efim I. Zelmanov, Oksana Bezushchak
Publication date: 16 January 2024
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.10781
Automorphisms and endomorphisms (16W20) Lie algebras of vector fields and related (super) algebras (17B66) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations and commutative rings (13N15) Derivations, actions of Lie algebras (16W25) Rings with polynomial identity (16R99) Identities other than those of matrices over commutative rings (16R40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the groups of birational transformations of surfaces
- Automorphisms of groups and of schemes of finite type
- An elementary account of Selberg's lemma
- On Jordan's theorem for torsion groups
- Jordan properties of automorphism groups of certain open algebraic varieties
- Lie algebras and torsion groups with identity
- The Burnside problem
- An example in PI-rings
- On central division algebras
- Singularities of linear systems and boundedness of Fano varieties
- Jordan property for Cremona groups
- Jordan Groups and Automorphism Groups of Algebraic Varieties
- On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties
- An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
- SIMPLE LIE ALGEBRAS IN VARIETIES GENERATED BY LIE ALGEBRAS OF CARTAN TYPE
- The radical in a finitely generated P. I. algebra
- On Lie algebras consisting of locally nilpotent derivations
- IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD
- Maximal Lie subalgebras among locally nilpotent derivations
- The Cremona Group and Its Subgroups
- Existence of polynomial identities in $A \otimes \,_F B$
- Some results on the center of a ring with polynomial identity
- Algebraic theory of locally nilpotent derivations
This page was built for publication: Automorphisms and derivations of affine commutative and PI-algebras
