Semiprime Algebras with Finiteness Conditions

DOI10.1081/AGB-120018510zbMath1045.16008OpenAlexW2034484409MaRDI QIDQ4804856

Tsiu-Kwen Lee, Tsai-Lien Wong

Publication date: 28 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120018510

zbMATH Keywords

finite dimensional algebrasannihilatorsidealssemiprime algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25)

Related Items (9)

On commutators and derivations in rings. ⋮ Unit-regularity of elements in rings ⋮ \(\varepsilon \)-complemented algebras ⋮ Clean Index of Rings ⋮ Compact and weakly compact multipliers of locally compact quantum groups ⋮ Ore extensions which are GPI-rings. ⋮ Linear Generalized Polynomials with Finiteness Conditions ⋮ Right ideals generated by an idempotent of finite rank. ⋮ Finiteness properties of differential polynomials.

Cites Work

• Unnamed Item
• Prime rings satisfying a generalized polynomial identity
• The strong radical and finite-dimensional ideals
• Rings with finitely many nilpotent elements
• Left Annihilators Characterized by GPIS
• On a new proof of Litoff's theorem
• Some results on the center of a ring with polynomial identity

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