The lower radical construction for non-associative rings: Examples and counterexamples

DOI10.1017/S0004972700010947zbMath0393.17004OpenAlexW2102125959WikidataQ124992064 ScholiaQ124992064MaRDI QIDQ4175725

B. J. Gardner

Publication date: 1979

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700010947

zbMATH Keywords

Nonassociative RingLower Radical Construction

Mathematics Subject Classification ID

Varieties (08B99) Radical theory (nonassociative rings and algebras) (17A65) Radicals and radical properties of associative rings (16Nxx)

Cites Work

• On the Andrunakievich lemma for alternative rings
• The radicals of Jordan rings
• Supernilpotent radicals of \((-1, 1)\)-rings
• A radical coinciding with the lower radical in associative and alternative rings
• Lower radical rings
• Hereditary Radicals in Associative and Alternative Rings
• Lower Radical Properties for Associative and Alternative Rings
• Prime Ideals in a Large Class of Nonassociative Rings

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