Simple and prime graded Jordan algebras

DOI10.1006/jabr.1996.6960zbMath0885.17023OpenAlexW2059219878MaRDI QIDQ1368046

Efim I. Zelmanov, Consuelo Martínez

Publication date: 5 April 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6960

zbMATH Keywords

finite growthgraded prime Jordan algebragraded simple Jordan algebrainfinite dimensional Jordan algebras of finite growth

Mathematics Subject Classification ID

Simple, semisimple Jordan algebras (17C20)

Related Items (1)

Coordinate algebras of extended affine Lie algebras of type \(A_1\)

Cites Work

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• Absolute zero-divisors and algebraic Jordan algebras
• Prime Jordan algebras. II
• Radicals in Jordan algebras
• Jordan algebras with finiteness conditions
• An example of a finitely generated primitive ring
• Classification of simple graded Lie algebras of finite growth
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Classification des algèbres de Lie graduées simples de croissance \(\leq 1\). (Classification of simple graded Lie algebras of growth \(\leq 1)\)
• Jordan algebras of Gelfand-Kirillov dimension one
• Gelfand-Kirillov dimension in Jordan Algebras
• Affine algebras of Gelfand-Kirillov dimension one are PI
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
• On Homomorphic Images of Special Jordan Algebras

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