On the Structure of Algebraic Algebras and Related Rings

DOI10.2307/1990809zbMath0050.26102OpenAlexW4242849196MaRDI QIDQ5818525

Jakob Levitzki

Publication date: 1953

Full work available at URL: https://doi.org/10.2307/1990809

zbMATH Keywords

rings, modules, fields

Related Items

Groups with identities, On regular rings of bounded index, Unnamed Item, Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings, On weakly nil-clean rings., Locally Finite-Dimensional Algebras, On rings whose prime radical contains all nilpotent elements of index two, Nil-clean and strongly nil-clean rings., Rings whose clean elements are uniquely clean, On $\xi$-rings, Rings in which elements are sums of nilpotents, idempotents and tripotents, Rings with xn − x nilpotent, A note on an inequality of Levitzki, On a theorem on modular lattices, A CLASS OF EXCHANGE RINGS, UNJ-Rings, Rings in which every element is a sum of a nilpotent and three tripotents, Unnamed Item, Order completions of semiprime rings, Rings with fine nilpotents, Rings such that, for each unit u, u − u n belongs to the Jacobson radical, Rings in which elements are uniquely the sum of an idempotent and a unit that commute., Homomorphisms close to regular and their applications., Generalized SV-rings of bounded index of nilpotency., Rings in which every unit is a sum of a nilpotent and an idempotent, Regular Self-Injective Rings With a Polynomial Identity, Rings with 2-UJ property, Algebras Over Infinite Fields, Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical, Gradings induced by nilpotent elements, Rings in which elements are sums of tripotents and nilpotents, Weakly clean and exchange UNI rings, Bernstein algebras that are algebraic and the Kurosh problem, A generalization of UJ-rings, Embeddings in matrix wreath products of algebras

Cites Work

• Structure theory for algebraic algebras of bounded degree
• Generalized regular rings
• Rings with a polynomial identity
• Topological Representation of Algebras
• Topological Representation of Algebras. II
• Some Remarks on One-Sided Inverses
• A Theorem of Polynomial Identities
• Minimal Identities for Algebras
• The Structure of Certain Operator Algebras
• Radical Ideals
• The Radical and Semi-Simplicity for Arbitrary Rings
• On the radical of a general ring
• On the commutativity of certain rings