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Basic Algebra

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Lecture notes of 4 pages for the course at 國立東華大學 (Basic Algebra)

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Bibliography


This is primarily a list of books where the topics are pursued further (and which were
often used as sources); it is followed by a list of papers referred to in the text as well
as a small selection of articles having a bearing on the text.
FA refers to the sequel of this book: Further Algebra and Applications. See below.

Anderson, F. W. and Fuller, K. R. (1973) Rings and Categories of Modules, Graduate
Texts in Mathematics 13, Springer Verlag, Berlin.
Artin, E. (1948) Galois Theory, Notre Dame Math. Lectures No.2, Notre Dame, IN.
Artin, E. (1957) Geometric Algebra, Interscience, New York.
Barwise, J. (ed.) (1977) Handbook of Logic, North-Holland, Amsterdam.
Birkhoff, G. (1967) Lattice Theory (3rd edn), AMS, Providence, RI.
Bourbaki, N. (1961-80) Algebre, Chs. 1-10, Hermann, Paris, later Masson, Paris.
Bourbaki, N. (1984) Elements d'Histoire de Mathematiques, Masson, Paris.
Burnside, W. (1911) Theory of Groups of Finite Order (2nd edn), Cambridge Univer-
sity Press; reprinted 1955, Dover, New York.
Chase, S. U., Harrison, D. K. and Rosenberg, A. (1965) Galois Theory and Cohomol-
ogy Theory of Commutative Rings, Mem. Amer. Math. Soc. 52, AMS, Providence,
RI.
Chevalley, C. (1951) Introduction to the Theory of Algebraic Functions of One Variable,
No.24, AMS Colloquium Publications, Providence, RI.
Cohen, P. J. (1966) Set Theory and the Continuum Hypothesis, Benjamin, New York.
Cohn, P. M. (1981) Universal Algebra (2nd edn), Reidel, Dordrecht.
Cohn, P. M. (1985) Free Rings and Their Relations (2nd edn), LMS Monographs
No.19, Academic Press, New York.
Cohn, P. M. (1991) Algebraic Numbers and Algebraic Functions, Chapman & Hall!
CRC Press.
Cohn, P. M. (1995) Skew Fields, Theory of General Division Rings, Encyclopedia of
Mathematics and its Applications, Vol. 57, Cambridge University Press.
Cohn, P. M. (2000) Introduction to Ring Theory, SUMS, Springer Verlag, London.
Cohn, P. M. (2003) Further Algebra and Applications, Springer Verlag, London,
referred to as FA.
Dedekind, R. (1894) Uber die Theorie der ganzen algebraischen Zahlen, XI. Supple-
ment zu Dirichlets Vorlesungen tiber Zahlentheorie, 2. Aufl.; reprinted 1964,
Vieweg, Braunschweig.
449

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