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Zbl 0694.16001
Jacobson, Nathan
Basic algebra II. 2nd ed. (English)
[B] New York, NY: W. H. Freeman and Company. xvii, 686 p. \sterling 37.95 (1989). ISBN 0-7167-1933-9

This is the second edition of Volume 2 of the author's work entitled ``Basic algebra''. The main differences between this and the first edition (1980; Zbl 0441.16001) are in the section devoted to commutative algebra. In the chapter on commutative ideal theory there is an improved account of integral dependence, and a new section is added on integrally closed domains. In the chapter on field theory three new sections are added: transcendency bases for domains; tensor products of fields; and free composites of fields (the latter two being taken from volume 3 of the author's ``Lectures in abstract algebra'' (1980; Zbl 0455.12001). In the chapter on homological algebra an improved proof is given of the existence of a projective resolution of a short exact sequence of modules. Some new exercises are added, and defective ones removed.
[T.S.Blyth]

MSC 2000:: *16-01 Textbooks (assoc. rings and algebras)
13-01 Textbooks (commutative rings and algebras)
12-01 Textbooks (field theory)
18-01 Textbooks (category theory)
16-02 Research monographs (assoc. rings and algebras)
12-02 Research monographs (field theory)
13-02 Research monographs (commutative rings and algebras)
18-02 Research monographs (category theory)

Keywords: ideal theory; integrally closed domains; transcendency bases; tensor products

Citations: Zbl 0441.16001; Zbl 0455.12001

Cited in: Zbl 1203.14018 Zbl 1239.11127 Zbl 1017.16010 Zbl 0874.16002

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