Groups, Rings, Lie and Hopf Algebras

✍ Scribed by Yuri Bahturin, Susan Montgomery, Mikhail Zaicev (auth.), Yuri Bahturin (eds.)

• Publisher: Springer US
• Year: 2003
• Tongue: English
• Leaves: 240
• Series: Mathematics and Its Applications 555
• Edition: 1
• Category: Library

✦ Synopsis

The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time.

Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.

✦ Table of Contents

Front Matter....Pages i-ix
Generalized Lie Solvability of Associative Algebras....Pages 1-23
Two-Sided Ideals of Some Finite-Dimensional Algebras....Pages 25-37
On Hnn-Extensions in the Class of Groups of Large Odd Exponent....Pages 39-53
Constructing Noetherian Algebras....Pages 55-73
On Radicals of Triple Systems....Pages 75-83
Some Results on Hopf Algebras of Frobenius Type....Pages 85-104
Polynomial Identities in Hopf Algebras: Passman’s Theorem and Its Dual....Pages 105-120
Nilpotent Subsets of Hopf Module Algebras....Pages 121-127
On Hopf Algebra Extensions Arising from Semi-Direct Products of Groups....Pages 129-139
An Introduction to Universal Central Extensions of Lie Superalgebras....Pages 141-166
Non-Commutative, Non-Cocommutative Semisimple Hopf Algebras Arise from Finite Abelian Groups....Pages 167-177
Self-Normalization of Free Subgroups in the Free Burnside Groups....Pages 179-187
Root Direct Limits of Lie Superalgebras....Pages 189-201
Torsion Freeness of the Unit Group of 1 + Δ( G )Δ( A )*....Pages 203-210
Graded Identities and Induced Gradings on Group Algebras....Pages 211-219
Endo - Distributive and Endo - Bezout Modules....Pages 221-241

✦ Subjects

Algebra; Associative Rings and Algebras; Non-associative Rings and Algebras; Linear and Multilinear Algebras, Matrix Theory; Category Theory, Homological Algebra