scientific article; zbMATH DE number 6887402

zbMath1430.17001MaRDI QIDQ4565800

Leonid A. Bokut'

Publication date: 13 June 2018

Full work available at URL: http://www.math.md/publications/basm/issues/y2017-n2/12478/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lie algebraassociative ringradicalJordan algebraalternative algebraGröbner-Shirshov basisvariety of algebrasMalcev algebraPI-algebranonassociative algebra

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of nonassociative rings and algebras (17-03)

Cites Work

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• On Homomorphic Images of Special Jordan Algebras
• A commutativity theorem
• On nilpotent Lie algebras
• Varieties generated by finite alternative rings
• Quasivariety of special Jordan algebras
• Representable varieties of algebras
• Right-alternative algebras with minimality condition for right ideals
• Jordan algebras with finiteness conditions
• Prime Jordan algebras
• Identities of finite Jordan \(\Phi\)-algebras
• Analytic Moufang loops in the large
• A radical splitting theorem for alternative algebras over a Hensel ring
• Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr
• Solvability of (-1,1) nil rings
• Wedderburn's theorem on the splitting radical for a (-1,1)-algebra
• Distributive lattices of subspaces and the equality problem for algebras with a single relation
• The radicals of Jordan rings
• Analogue of Levi's theorem for Mal'cev algebras
• Levi's theorem for Mal'cev algebras
• Heredity of radicals of rings of type \((\gamma,\delta)\)
• A problem of Shirshov
• Simple right alternative rings
• Properties of the join of varieties of algebras
• Problem of equality for Lie algebras
• On the Jacobson radical and absolute zero divisors of special Jordan algebras
• Varieties of associative rings. I
• Conjugacy Cartan subalgebras in \(n\)-Lie algebras
• On the Specht property of certain varieties of associative algebras
• Prime alternative rings. III
• On the Cartesian subalgebras of a free Lie sum of Lie algebras
• Identical relations in finite groups
• On solvability of Jordan nil-algebras
• Simple rings without zero‐divisors, and Lie division rings
• Malcev Algebras
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• STRUCTURE AND REPRESENTATION OF BINARY-LIE ALGEBRAS
• Nilpotency of the associator ideal of a free finitely generated (−1, 1) ring
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• The ring of matrices over a critical ring is critical
• The Nagata automorphism is wild
• An example of a solvable but nonnilpotent alternative ring

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