Algebra. Reprint. (English) Zbl 0442.00002

Hungerford, Thomas W.

Graduate Texts in Mathematics, Vol. 73. New York, Heidelberg, Berlin: Springer-Verlag. XXIII, 502 p. DM 45.00; $ 26.60 (1980).

From the preface: The reception given to the first edition of “Algebra” (New York etc.: Holt, Rinehart and Winston) (1974; Zbl 0293.12001) indicates that is has filled a definite need: to provide a self-contained, one-volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. Since it has been so well received, an extensive revision at this time does not seem warranted. Therefore, no substantial changes have been made in the text for this revised printing. However, all known misprints and errors have been corrected and several proofs have been rewritten.

MSC:

00A05	Mathematics in general
20-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
13-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra
12-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory
16-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras
12Fxx	Field extensions
12Exx	General field theory
15-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
15A15	Determinants, permanents, traces, other special matrix functions

Keywords:

textbook; algebra; rings; field; modules; matrices; Galois theory; determinant

Citations:

Zbl 0293.12001