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＜E-Book＞
The Concise Handbook of Algebra / by Alexander V. Mikhalev, G.F. Pilz

Edition	1st ed. 2002.
Publisher	(Dordrecht : Springer Netherlands : Imprint: Springer)
Year	2002
Language	English
Size	XVI, 618 p. 101 illus : online resource
Authors	*Mikhalev, Alexander V author Pilz, G.F author SpringerLink (Online service)
Subjects	LCSH:Algebra LCSH:Algebraic fields LCSH:Polynomials LCSH:Commutative algebra LCSH:Commutative rings LCSH:Associative rings LCSH:Associative algebras LCSH:Nonassociative rings FREE:Algebra FREE:Field Theory and Polynomials FREE:Commutative Rings and Algebras FREE:Associative Rings and Algebras FREE:Non-associative Rings and Algebras
Notes	A Semigroups -- B Groups -- C Rings, Modules, Algebras -- D Fields -- E Representation Theory -- F Lattices -- G Universal Algebra -- H Homological Algebra -- I Miscellaneous -- About the Authors It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions HTTP:URL=https://doi.org/10.1007/978-94-017-3267-3

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