Hazewinkel M.  Handbook of algebra

Название: 
Handbook of algebra 
Автор: 
Hazewinkel M. 
Категория: 
Математика

Тип: 
Книга 
Дата: 
30.12.2008 23:02:42 
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Описание: 
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different "items" would be somewhere between 50000 and 200000. Many of these have been named and many more could (and perhaps should) have a "name" or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find at least something in this Handbook and hopefully enough to judge if it is worthwhile to pursue the quest. In addition to the primary information, references to relevant articles, books or lecture notes should help the reader to complete his understanding. To make this possible, we have provided an index which is more extensive than usual and not limited to definitions, theorems and the like.
For the purpose of this Handbook, algebra has been defined, more or less arbitrarily as the union of the following areas of the Mathematics Subject Classification Scheme:
 20 (Group theory)
 19 (/("theory; will be treated at an intermediate level; a separate Handbook of K
theory which goes into far more detail than the section planned for this Handbook of Algebra is under consideration)
 18 (Category theory and homological algebra; including some of the uses of cate
gories in computer science, often classified somewhere in section 68)
 17 (Nonassociative rings and algebras; especially Lie algebras)
 16 (Associative rings and algebras)
 15 (Linear and multilinear algebra, Matrix theory)
 13 (Commutative rings and algebras; here there is a fine line to tread between
commutative algebras and algebraic geometry; algebraic geometry is not a topic that will be dealt with in this Handbook; a separate Handbook on that topic is under consideration)
 12 (Field theory and polynomials)
 11 (As far as it used to be classified under old 12 (Algebraic number theory))
 08 (General algebraic systems)
 06 (Certain parts; but not topics specific to Boolean algebras as there is a separate
threevolume Handbook of Boolean Algebras) 
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