Bourbaki, Nicolas Elements of mathematics. Algebra II. Chapters 4–7. Transl. from the French by P. M. Cohn and J. Howie. Reprint of the 1990 English translation. (English) Zbl 1017.12001 Berlin: Springer. vii, 461 p. (2003). The publisher is to be congratulated for making Bourbaki volumes available again at a moderate price. This book is a reprint of the English translation (1990) (see Zbl 0719.12001) Algebra II, Chapters 1-3 have been reprinted already in 1998 (see Zbl 0904.00001). Reviewer: A.Akutowicz (Berlin) Cited in 41 Documents MSC: 12-02 Research exposition (monographs, survey articles) pertaining to field theory 13-02 Research exposition (monographs, survey articles) pertaining to commutative algebra 00A05 Mathematics in general 12Fxx Field extensions 12J15 Ordered fields 13F10 Principal ideal rings 13C10 Projective and free modules and ideals in commutative rings 12E05 Polynomials in general fields (irreducibility, etc.) 06F15 Ordered groups 05E05 Symmetric functions and generalizations Keywords:ordered fields; ordered groups; polynomials; rational fraction; power series; symmetric functions; commutative fields; principal ideal domain Citations:Zbl 0719.12001; Zbl 0904.00001 PDFBibTeX XMLCite \textit{N. Bourbaki}, Elements of mathematics. Algebra II. Chapters 4--7. Transl. from the French by P. M. Cohn and J. Howie. Reprint of the 1990 English translation. Berlin: Springer (2003; Zbl 1017.12001)