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**About this book :- **
**Modern Algebra Lecture Notes ** written by
** James McKernan **

The program students need, the focus teachers want! Glencoe Algebra 1 is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today’s high-stakes assessments.

**Book Detail :- **
** Title: ** Modern Algebra Lecture Notes
** Edition: **
** Author(s): ** James McKernan
** Publisher: **
** Series: **
** Year: **
** Pages: ** 149
** Type: **
** Language: ** English
** ISBN: **
** Country: ** US
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**About Author :- **

The author ** James McKernan **** (born 1964) is a mathematician, and a professor of mathematics at the University of California, San Diego. He was a professor at MIT from 2007 until 2013.
McKernan was educated at the Campion School, Hornchurch, and Trinity College, Cambridge, before going on to earn his Ph.D. from Harvard University in 1991. His dissertation, On the Hyperplane Sections of a Variety in Projective Space, was supervised by Joe Harris.
McKernan was the joint winner of the Cole Prize in 2009, and joint recipient of the Clay Research Award in 2007. Both honors were received jointly with his colleague Christopher Hacon. He gave an invited talk at the International Congress of Mathematicians in 2010, on the topic of "Algebraic Geometry". He was the joint winner (with Christopher Hacon) of the 2018 Breakthrough Prize in Mathematics.
He was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to algebraic geometry, in particular his proof of the finite generation of the canonical ring, the existence of flips and the boundedness of varieties of log general type".
**

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Modern Algebra Lecture Notes by James McKernan **

** • Download PDF A celebration of Algebraic Geometry by Brendan Hassett, James McKernan, Jason Starr **

** • Download PDF Current Developments in Algebraic Geometry by Lucia Caporaso, James McKernan, Mircea Mustata **

** • Download PDF Foliation Theory in Algebraic Geometry by Paolo Cascini, James McKernan, Jorge Pereira **

** • Download PDF Automorphisms in Birational & Affine Geometry by Ivan Cheltsov, Ciro Ciliberto, Hubert Flenner, James McKernan **

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**Book Contents :- **
**Modern Algebra Lecture Notes ** written by
** James McKernan **
cover the following topics.

1. Groups

2. Subgroups

3. Cosets

4. Cyclic Groups,

5. Permutation Groups

6. Conjugation in Sn

7. Isomorphisms

8. Homomorphisms and Kernels

9. Quotient Groups

10. The Isomorphism Theorems

11. The altermating groups

12. Presentations and Groups of Small Order

13. Sylow Theorems and Applications

14. Rings

15. Basic Properties of rings

16. Ring Homomorphisms and Ideals

17. Field of Fractions

18. Prime and Maximal Ideals

19. Special Domains

20. Euclidean Domains

21. Polynomial Rings

22. A Quick Primality Test

23. Group Actions and Automorphisms

24. Review

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