Galois Objects of Finitely Generated Projective Hopf Algebras
作者:
Kenneth Newman,
期刊:
Communications in Algebra
(Taylor Available online 1974)
卷期:
Volume 1,
issue 2
页码: 165-176
ISSN:0092-7872
年代: 1974
DOI:10.1080/00927877408548613
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Let C be the category of cocommutative coalgebras over a commutative ring R and let H be a group object in C, i.e., let H be a cocommutative Hopf algebra. Assume that H is a finitely generated, projective R-module and that the integrals (of [4]) in H* ≡ HomR(H, R) are cocommutative elements. We will show that any Galois H-object (as defined in [3, Def. 1.2, p. 8]) is a finitely generated, projective R-module.
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