Cyclic Galois Extensions of Commutative Rings
Cornelius Greither, "Cyclic Galois Extensions of Commutative Rings"
1992 | pages: 154 | ISBN: 0387563504, 3540563504 | PDF | 5,4 mb
1992 | pages: 154 | ISBN: 0387563504, 3540563504 | PDF | 5,4 mb
The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.
My Links