The characterization of (-1,1) rings

DOI10.1016/0021-8693(74)90200-2zbMath0284.17001OpenAlexW1978567444MaRDI QIDQ1845052

Irvin Roy Hentzel

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90200-2

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items (21)

Central isotopes of \((-1,1) \)-algebras ⋮ Varieties generated by free algebras of type (-1,1) of finite rank ⋮ Binary-(-1,1)-nilalgebras ⋮ Homotopes of \((-1,1)\)-algebras with two generators ⋮ Commutator identities of the homotopes of \((-1, 1)\)-algebras ⋮ On the commutator nilpotency step of strictly \((-1,1)\)-algebras ⋮ Isotopes of prime \((-1,1)\)- and Jordan algebras ⋮ Triple Lie systems associated with \((-1, 1)\) algebras ⋮ One-sided isotopes and homotopes of right-alternative algebras ⋮ Locally (-1,1) Rings ⋮ Nonassociative rings ⋮ Simple right-symmetric \((1, 1)\)-superalgebras ⋮ Almost alternative algebras ⋮ Prime algebras connected with monsters ⋮ Simple (\(\gamma\delta\)) algebras are associative ⋮ Nilpotency of the associator ideal of a free finitely generated (-1, 1) ring ⋮ Centers of a free (-1,1) ring ⋮ A generalization of strongly (-1,1) rings ⋮ Absolute zero divisors of special Jordan algebras ⋮ Alternator and Associator Ideal Algebras ⋮ Simple locally (-1,1) nil rings

Cites Work

• Nil semi-simple (-1,1) rings
• On a class of right alternative rings
• Simple (-1, 1) Rings with an Idempotent
• (-1, 1) Rings
• Prime (-1, 1) Rings with Idempotent
• A Nonidentity for Right Alternative Rings

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