Modules Over the Endomorphism Ring of a Finitely Generated Projective Module
نویسندگان
چکیده
منابع مشابه
Projectivity and flatness over the endomorphism ring of a finitely generated module
Let A be a ring, and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ.
متن کاملNon-finitely Generated Projective Modules over Generalized Weyl Algebras
We classify infinitely generated projective modules over generalized Weyl algebras. For instance, we prove that over such algebras every projective module is a direct sum of finitely generated modules.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.2307/2038506