Ideal theory [E-Book] / by Douglas G. Northcott.
Northcott, D. G., (author)
Cambridge : Cambridge University Press, 1953
1 online resource (viii, 111 pages)
englisch
9780521604833
9780511565908
9780521058407
Cambridge tracts in mathematics ; 42
Full Text
Ideal theory is important not only for the intrinsic interest and purity of its logical structure but because it is a necessary tool in many branches of mathematics. In this introduction to the modern theory of ideals, Professor Northcott assumes a sound background of mathematical theory but no previous knowledge of modern algebra. After a discussion of elementary ring theory, he deals with the properties of Noetherian rings and the algebraic and analytical theories of local rings. In order to give some idea of deeper applications of this theory the author has woven into the connected algebraic theory those results which play outstanding roles in the geometric applications.