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Right Ideals of Rings of Differential Operators

✍ Scribed by R.C. Cannings; M.P. Holland


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
859 KB
Volume
167
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Rings of Operators on Modules over Commu
✍ R.C Cannings; M.P Holland πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 300 KB

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

Ideal Theory of Right Cones and Associat
✍ Hans-Heinrich Brungs; GΓΌnter TΓΆrner πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 197 KB

Right cones are semigroups with a left cancellation law such that for any two elements a, b there exists an element c with b s ac or a s bc. Valuation rings, cones of ordered or left ordered groups, semigroups of ordinal numbers, and Hjelmslev rings are examples. The ideal theory of these semigroups