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|Type:||Artigo de periódico|
|Title:||ON ZP-EXTENSIONS OF COMMUTATIVE RINGS|
|Abstract:||We study Z(p)-extensions of a commutative ring R. Some general properties corresponding to the finite Galois theory by Chase, Harrison and Rosenberg are proved. After that, we consider Z(p)-extensions of commutative rings of characteristic p. We describe the structure of a Z(p)-extension and the Z(p)-module T(Z(p), R) of the isomorphism classes of Z(p)-extensions of R, via Witt vectors. Results on cyclic p(n)-extensions of rings of characteristic p, which are already known, are also recovered by direct and elementary methods.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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