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Titlebook: Abstract Algebra; Pierre Antoine Grillet Textbook 2007Latest edition Springer-Verlag New York 2007 Abstract algebra.Galois theory.Lattice.

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发表于 2025-3-21 17:19:00 | 显示全部楼层 |阅读模式
期刊全称Abstract Algebra
影响因子2023Pierre Antoine Grillet
视频video
发行地址Unique collection of nonstandard topics.Clearly written, succinctly presented.Contains numerous interrelations between the various topics discussed.Accessible discussion of the basic material, combine
学科分类Graduate Texts in Mathematics
图书封面Titlebook: Abstract Algebra;  Pierre Antoine Grillet Textbook 2007Latest edition Springer-Verlag New York 2007 Abstract algebra.Galois theory.Lattice.
影响因子.About the first edition:..“The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules...[n]one of the material one expects in a book like this is missing, and the level of detail is appropriate for its intended audience.” .(Alberto Delgado, MathSciNet)..“This text promotes the conceptual understanding of algebra as a whole, and that with great methodological mastery. Although the presentation is predominantly abstract...it nevertheless features a careful selection of important examples, together with a remarkably detailed and strategically skillful elaboration of the more sophisticated, abstract theories.” .(Werner Kleinert, Zentralblatt)..For the new edition, the author has completely rewritten the text, reorganized many of the sections, and even cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as a bit of topology..
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Textbook 2007Latest editionajor branches of groups, rings, fields, and modules...[n]one of the material one expects in a book like this is missing, and the level of detail is appropriate for its intended audience.” .(Alberto Delgado, MathSciNet)..“This text promotes the conceptual understanding of algebra as a whole, and that
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Pamela Costes-Onishi,Imelda S. Caleoneneral, one method, based on the Sylow theorems and further sharpened in the last two sections, leads in Section 5 to the determination of all groups of order less than 16. The other method, composition series, yields interesting classes of groups.
发表于 2025-3-22 17:43:20 | 显示全部楼层
https://doi.org/10.1007/978-3-319-71422-6a field, albeit limited to fields of algebraic numbers. Steinitz [1910] wrote the first systematic abstract treatment. Today’s approach is basically due to Artin, on whose lectures van der Waerden’s . [1930] is partly based.
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https://doi.org/10.1007/978-3-319-71422-6 Cardano in [1545]. Equations of degree 5, however, resisted all efforts at similar solutions, until Abel [1824] and Galois [1830] proved that no such solution exists. Abel’s solution did not hold the germs of future progress, but Galois’s ideas initiated the theory that now bears his name, even tho
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