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 eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Contemporary Mathematicians
• Subjects: Mathematics.; History.; Mathematics, general.; History of Mathematical Sciences.

This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921–1981). 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 results on G...

Table of 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
• On the Bases of a Free Lie Algebra
• Some Algorithmic Problems for ?-algebras
• Some Algorithmic Problems for Lie Algebras
• On a Hypothesis in the Theory of Lie Algebras
• 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
• Commentaries
• Perspectives on Shirshov’s Height Theorem
• On Shirshov’s Papers for Lie Algebras
• Some of A.I. Shirshov’s works
• Comments on Shirshov’s Height Theorem
• A.I. Shirshov’s Works on Alternative and Jordan Algebras
• A Word about the Teacher.