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Titlebook: Algebra; Serge Lang Textbook 2002Latest edition Springer Science+Business Media New York 2002 Algebra Textbook.Category theory.Textbook.al

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发表于 2025-3-21 16:44:38 | 显示全部楼层 |阅读模式
期刊全称Algebra
影响因子2023Serge Lang
视频video
发行地址This book is considered a classic, which "changed the way algebra was taught" (Notices of the AMS)
学科分类Graduate Texts in Mathematics
图书封面Titlebook: Algebra;  Serge Lang Textbook 2002Latest edition Springer Science+Business Media New York 2002 Algebra Textbook.Category theory.Textbook.al
影响因子From April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books: "Lang‘s Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.".From MathSciNet‘s review of the first edition:."The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra.".This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text.
Pindex Textbook 2002Latest edition
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发表于 2025-3-21 23:26:36 | 显示全部楼层
M. Nagel,H. Höring,K.-D. Werneckealso called their . under the law of composition, and will be denoted by .. (Sometimes, we also write . · ., and in many cases it is also convenient to use an additive notation, and thus to write . + .. In that case, we call this element the . of . and .. It is customary to use the notation . + . on
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Grundarchitektur: das Objektmodell,se properties, especially at the beginning for polynomials in one variable. However, one of our purposes is to show that some of these properties also hold over a commutative ring when properly formulated. The Gauss lemma and the reduction criterion for irreducibility will show the importance of wor
发表于 2025-3-22 11:02:42 | 显示全部楼层
Konzeptioneller Entwurf von Datenbanken,here the polynomial has a root, and we prove the existence of an algebraic closure. We make a preliminary study of such extensions, including the automorphisms, and we give algebraic extensions of finite fields as examples.
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Grundlagen der Datenmodellierung, such equations have a common zero in some field, then they have a common zero in the algebraic closure of ., and such a zero can be obtained by the process known as specialization. However, it is useful to deal with transcendental extensions of . as well. Indeed, if p is a prime ideal in .[.] = .[.
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