Selected Works of A.I. Shirshov

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bokut, Leonid. (Editor), Shestakov, Ivan. (Editor), Latyshev, Victor. (Editor), Zelmanov, Efim. (Editor)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Contemporary Mathematicians
• Subjects: Mathematics.; Mathematics_$xHistory.; Mathematics, general.; History of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8858-4

This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921<U+0013>1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and...

Table of Contents:

• From the contents: Publications of A.I. Shirshov: Subalgebras of free Lie algebras
• On the representation of Lie rings in associative rings
• Subalgebras of free commutative and free anticommutative algebras
• On special J-rings
• Some theorems on embedding of rings
• On some nonassociative nil-rings and algebraic algebras
• On rings with identical relations
• On free Lie rings
• On a problem of Levitzki
• Some problems in the theory of rings that are nearly associative
• Some algorithmic problems for e-algebras
• Some algorithmic problems for Lie algebras
• On a hypothesis in the theory of Lie algebras
• On the bases of a free Lie algebra
• On some groups which are nearly Engel
• On some identical relations for algebras
• On some positively definable varieties of groups
• On the definition of the binary-Lie property
• On the theory of projective planes (with A.A. Nikitin). Commentaries: Perspectives on Shirshov<U+0019>s Height Theorem
• On Shirshov<U+0019>s Papers for Lie Algebra
• Some of A.I. Shirshov<U+0019>s Works
• Comments on Shirshov<U+0019>s Height Theorem
• Shirshov<U+0019>s Works on Alternative and Jordan Algebras
• A Word about the Teacher.