Algorithmic and Combinatorial Algebra - Couverture souple

Bokut', L.A. A.; Kukin, G.P..

Couverture souple

ISBN 10 : 9401048843 ISBN 13 : 9789401048842

Editeur : Springer, 2012

Synopsis

Even three decades ago, the words 'combinatorial algebra' contrasting, for in- stance, the words 'combinatorial topology, ' were not a common designation for some branch of mathematics. The collocation 'combinatorial group theory' seems to ap- pear first as the title of the book by A. Karras, W. Magnus, and D. Solitar [182] and, later on, it served as the title of the book by R. C. Lyndon and P. Schupp [247]. Nowadays, specialists do not question the existence of 'combinatorial algebra' as a special algebraic activity. The activity is distinguished not only by its objects of research (that are effectively given to some extent) but also by its methods (ef- fective to some extent). To be more exact, we could approximately define the term 'combinatorial algebra' for the purposes of this book, as follows: So we call a part of algebra dealing with groups, semi groups, associative algebras, Lie algebras, and other algebraic systems which are given by generators and defining relations {in the first and particular place, free groups, semigroups, algebras, etc. )j a part in which we study universal constructions, viz. free products, lINN-extensions, etc. j and, finally, a part where specific methods such as the Composition Method (in other words, the Diamond Lemma, see [49]) are applied. Surely, the above explanation is far from covering the full scope of the term (compare the prefaces to the books mentioned above).

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 9401048843
• ISBN 13: 9789401048842
• Reliure: Broché
• Nombre de pages: 404
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne