Physical description 
1 online resource (xvi, 386 pages). 
Series 
Mathematics and Its Applications ; 255 

Mathematics and Its Applications ; 255.

Summary 
This major volume presents an authoritative overview of developments in algorithmic and combinatorial algebra which have been achieved during the last forty years or so, with an emphasis on the results obtained by the Novosibirsk school of A.I. Mal'tchev and A.I. Shirshov and followers. The book has nine chapters. These deal with Applications of the Composition (or Diamond) Lemma to associative and Lie algebras (Chapters 1 and 3), to subalgebras of free Lie algebras and free products of Lie algebras (Chapters 2 and 4), to word problems and embedding theorems in varieties of Lie algebras and groups (Chapters 57) and to the constructive theory of HNNextensions and its use in analysing the word and conjugacy problems in the NovikovBoone groups (Chapters 8 and 9). Many results described here appear for the first time in a monograph. The volume concludes with a discussion of three applications. For graduate students and researchers whose work involves algorithmic and combinatorial algebra and its applications. 
Other author 
Kukin, G. P.

Subject 
Mathematics.


Algebra.


Algorithms.


Algebra. 

Algorithms. 

Mathematics. 

Electronic books. 
ISBN 
9789401120029 (electronic bk.) 

9401120021 (electronic bk.) 

9789401048842 

9401048843 

9401120021 
