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Cyclic Maximal Ideals of Rings of Differential Operators over Power Series Rings

✍ Scribed by Bertoncello, Luciene Nogueira; Levcovitz, Daniel

Book ID
124164443
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
158 KB
Volume
38
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES

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We introduce and impose conditions under which the finitely generated essential right ideals of E may be classified in terms of k-submodules of M. This yields a classification of the domains Morita equivalent to E when E is a Noetherian domain. For example, a special case of our results is:

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Let \(A\) be a commutative Noetherian and reduced ring. If \(A\) has an Γ©tale covering \(B\) such that all the irreducible components of \(B\) are geometric unibranches, we will construct an invariant ideal \(\gamma(A)\) of \(A\) which has the following properties: If \(A\) is an algebra over some r