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Algorithmic and Combinatorial Algebra by L. A. Bokut'

Algorithmic and Combinatorial Algebra

by L. A. Bokut'
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Book cover type: Paperback
  • ISBN13: 9789401048842
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 384
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 1994
  • Item Weight: 640 grams
  • BISAC Subject(s): Algebra / General, General, and Programming / Algorithms

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).

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