TY  - BOOK
AU  - Birkhoff,Garrett
AU  - Mac Lane,Saunders
TI  - A survey of modern algebra
AV  - QA251 .B5 1965
U1  - 512.8 
PY  - 1965///
CY  - New York, Macmillan
PB  - London, Collier-Macmillan
KW  - Algebra
KW  - Mathematics
N1  - Includes index; Includes bibliographical references: p. 423-425
N2  - In detail, Chapters 1-5 of the book center around the theory of linear and polynomial equations in commutative rings. Chapter 6 introduces non-commutative algebra through its simplest and most fundamental concept: that of a group. The group concept is applied systematically in Chapters 7 through 10, on vector spaces and matrices. Chapter 11 includes a completely revised introduction to Boolean algebra and lattice theory. Chapter 12 follows by a brief discussion of transfinite numbers. Finally, the last three chapters provide an introduction to general commutative algebra and arithmetic: ideals and quotient rings, extensions of fields, algebraic numbers and their factorization, and Galois theory
ER  -