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Topics in Commutative Ring Theory.

Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.Commutative ring theory arose more than a century ago to address questions in geometry a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Watkins, John J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2008.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Topics in Commutative Ring Theory. 
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505 0 |a Contents; Preface; 1 Rings and Subrings; 2 Ideals and Quotient Rings; 3 Prime Ideals and Maximal Ideals; 4 Zorn's Lemma and Maximal Ideals; 5 Units and Nilpotent Elements; 6 Localization; 7 Rings of Continuous Functions; 8 Homomorphisms and Isomorphisms; 9 Unique Factorization; 10 Euclidean Domains and Principal Ideal Domains; 11 Polynomial Rings; 12 Power Series Rings; 13 Noetherian Rings; 14 Dimension; 15 Grbner Bases; Solutions to Selected Problems; Suggestions for Further Reading; Index. 
520 |a Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.Commutative ring theory arose more than a century ago to address questions in geometry and number theory. A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients--with two operations, addition and multiplication. Starting from this simple definition, John Watkins guides readers from basic concepts to Noetherian rings-one of the most impo. 
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