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Learning outcomes |
Upon completion of this curricular unit, the student will
1. have a good understanding of the key concepts, results and techniques of Galois Theory and Commutative Algebra that occur in other areas of Mathematics and its Applications, namely, in Algebraic Geometry, Number Theory, Coding Theory and Cryptography;
2. be able to use mathematical language correctly in oral and written communication, presenting the studied topics,solved exercises and proposed assignments with clarity, precision and confidence.
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Main Bibliography |
Stewart, I. (2015). Galois theory. Fourth edition. CRC Press, Boca Raton, FL.
Artin, E. (1998). Galois Theory, Dover Publications, Mineola, NY.
Tignol, J. P. (2016). Galois theory of algebraic equations. Second edition. World Scientific Publishing Co Pte Ltd.
Atiyah, M. F., MacDonald, I. G. (1969). Introduction to Commutative Algebra. Addison-Wesley Publishing Co., Reading,Mass.-London-Don Mills.
Zariski, O., Samuel, P. (1975). Commutative Algebra. Springer Science & Business Media.
Eisenbud, David (1995). Commutative algebra with a view toward algebraic geometry. Graduate Texts in Mathematics,150. Springer-Verlag, New York.
Kaplansky, I. (1970). Commutative Rings. Boston.
Kemper, G. (2010). A Course in Commutative Algebra. Springer Science & Business Media.
Matsumura, H. (1980).Commutative Algebra. Second edition. Mathematics Lecture Note Series, 56.Benjamin/Cummings Publishing Co., Inc., Reading, Mass.
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