Alternative rings with d.c.c.\,. III

DOI10.1016/0021-8693(71)90052-4zbMath0217.34602OpenAlexW4212995794MaRDI QIDQ2546379

Yanyan Li

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90052-4

zbMATH Keywords

alternative ringsBaer radicaldescending chain condition on right idealsanalog of Hopkins' theorem

Mathematics Subject Classification ID

Alternative rings (17D05) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (max. 100)

Alternative rings with idempotent ⋮ Nonassociative rings ⋮ Nilpotency of ideals in (-1,1) rings with minimum condition ⋮ Absolute zero-divisors and radicals of finitely generated alternative algebras ⋮ (1, 1) Algebras with minimum condition ⋮ Unnamed Item

Cites Work

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• On the Andrunakievich lemma for alternative rings
• Alternative nil rings
• Do simple rings have unity elements?
• Ideals in semiprime alternative rings
• Alternative rings with d.c.c. I
• Nucleus and center alternativ rings
• An example of a simple radical ring
• The socle of an alternative ring
• Alternative rings with d.c.c. II
• The radical of an alternative ring
• Simple alternative rings
• The Open Case for Simple Alternative Rings
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients
• Prime Rings Satisfying a Polynomial Identity
• Rings with a polynomial identity
• A General Theory of Radicals. II. Radicals in Rings and Bicategories
• A General Theory of Radicals. III. Applications
• Radical Ideals
• Primitive Alternative Rings and Semi-Simplicity

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