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Generators of modules over commutative rings

✍ Scribed by Roger Wiegand

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
524 KB
Volume
27
Category
Article
ISSN
0021-8693

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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 an algebra over a commutative ring R. If R is noetherian and A β€’ is pure in R A , then the categories of rational left A-modules and right A β€’ -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con