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Algebra: Chapter 0

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Algebra: Chapter 0
AuthorPaolo Aluffi
LanguageEnglish
SeriesGraduate Studies in Mathematics
SubjectAbstract algebra
GenreTextbook
PublisherAmerican Mathematical Society
Publication date
2009
Publication placeUnited States
Pages713
ISBN978-0-8218-4781-7

Algebra: Chapter 0 is a graduate abstract algebra textbook written by Paolo Aluffi. The book was first published in 2009 by the American Mathematical Society and is now a common choice introductory courses in abstract algebra.[1][2][3]

History

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Algebra: Chapter 0 was published by the American Mathematical Society's as part of their Graduate Studies in Mathematics series.[4] The book was well-received and an updated second edition was published in 2016.[5]

The book began as a transcript of Aluffi's lectures at Florida State University.[6]

Content

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The book aims to be a fully self-contained introduction to abstract algebra for advanced undergraduates and beginning graduates. The main distinguishing factor of the book from other algebra texts is its early introduction to categories which remain relevant throughout the book. It also features a greater emphasis on homological algebra.[7]

References

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  1. ^ "Textbooks Department of Mathematics". math.cornell.edu. Retrieved 21 June 2025.
  2. ^ Smith, Karen. "Math 593: Graduate Algebra I". umich.edu.
  3. ^ "Algebra (470-1-61)". northwestern.edu.
  4. ^ "Algebra: Chapter 0". American Mathematical Society. 15 July 2009.
  5. ^ Berg, Michael (17 September 2009). "MAA Reviews Algebra: Chapter 0". old.maa.org. Mathematical Association of America. Retrieved 21 June 2025.
  6. ^ Aluffi, Paolo (2009). Algebra: Chapter 0 (First ed.). Providence (R.I.): American Mathematical Society. p. xviii. ISBN 978-0-8218-4781-7.
  7. ^ "Algebra: Chapter 0". American Mathematical Society. 15 July 2009.