Ideal Theory (cambridge Tracts In Mathematics)
by D. G. Northcott /
1953 / English / DjVu
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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.
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.
