Centralizers in Free Associative Algebras

DOI10.2307/1994807zbMath0175.31501OpenAlexW4254225762MaRDI QIDQ5565205

George M. Bergman

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1994807

zbMATH Keywords

associative rings

Related Items

On structure of domains with quadratic growth. ⋮ Automorphisms and derivations of free Poisson algebras in two variables ⋮ Free generic Poisson fields and algebras ⋮ Bergman’s centralizer theorem and quantization ⋮ A class of inert semigroup rings ⋮ The weights of closed subrings of a locally compact ring. ⋮ Centralizers in partially commutative Lie algebras ⋮ On generalized Lyndon words ⋮ Degree estimate for subalgebras. ⋮ Degree estimate for subalgebras generated by two elements. ⋮ Centralizers in free associative algebras and generic matrices ⋮ Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields ⋮ Hyperidentities of groups and semigroups ⋮ Finite rings in which commutativity is transitive. ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Tarski-type problems for free associative algebras ⋮ A cancellation conjecture for free associative algebras ⋮ FIXED ELEMENTS OF NONINJECTIVE ENDOMORPHISMS OF POLYNOMIAL ALGEBRAS IN TWO VARIABLES ⋮ Free Bertini’s theorem and applications ⋮ Multiplicities: A deterministic view of nondeterminism ⋮ Equations over finite sets of words and equivalence problems in automata theory ⋮ Test elements, retracts and automorphic orbits. ⋮ The Freiheitssatz for Poisson algebras ⋮ Commutation with codes ⋮ Commutativity preserving linear maps on central simple algebras. ⋮ Progress in free associative algebras ⋮ Unnamed Item ⋮ Centralizers in free group algebras and nonsingular curves ⋮ Transcendental division algebras and simple Noetherian rings ⋮ Poisson brackets and two-generated subalgebras of rings of polynomials ⋮ Commutativity in free inverse monoids ⋮ The automorphism class group of the category of rings ⋮ On serving subalgebras of free associative algebras ⋮ Monomial algebras ⋮ Degree estimate for commutators. ⋮ Conway's problem for three-word sets. ⋮ Centralizers in free Poisson algebras ⋮ A non-ambiguous decomposition of regular languages and factorizing codes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free ideal rings
• Some remarks on the invariant basis property
• Ranks of tensors and change of base field
• Commutative linear differential operators
• On Subsemigroups of Free Semigroups
• Rings With a Weak Algorithm
• Noncommutative Unique Factorization Domains
• Subalgebras of Free Associative Algebras
• The Centres of 2-Firs and Hereditary Rings
• Dependence in Rings. II The Dependence Number