Prime Ideals in a Large Class of Nonassociative Rings

DOI10.2307/1995902zbMath0221.17001OpenAlexW4240154891MaRDI QIDQ5625392

Paul J. Zwier

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995902

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Structure theory for Jordan algebras (17C10) Alternative rings (17D05) Radical theory (nonassociative rings and algebras) (17A65)

Related Items

Radicals and Bimodules, Strong semi-simplicity, A characterisation of Lie algebras amongst anti-commutative algebras, Semi-simple classes in a variety satisfying an Andrunakievich Lemma, The lower radical construction for non-associative rings: Examples and counterexamples, The Levitzki radical in varieties of algebras, The Prime Radical in Alternative Rings, Non-associative Algebras, A method for recognizing certain varieties of nonassociative algebras, A special class of 2-varieties

Cites Work

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• Alternative rings with d.c.c. I
• Zum Wedderburnschen Zerlegungssatz
• Generalized standard algebras
• Prime Ideals In Nonassociative Rings
• The Prime Radical in a Jordan Ring
• The Levitzki Radical in Jordan Rings
• Power-associative rings
• Prime Ideals and the Lower Radical
• A General Theory of Radicals. II. Radicals in Rings and Bicategories