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| 1. |
The Koszul Complex and Duality |
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Communications in Algebra,
Volume 1,
Issue 2,
1974,
Page 87-144
Eben Matlis,
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PDF (1759KB)
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摘要:
This paper is basically about local, Cohen-Macaulay rings although many of the theorems are more general in nature. The major tool that we shall use is the Koszul complex and its self duality. The Koszul complex is closely linked with the functors Γ and λ which we shall define presently. Our main results will be the computation of the derived functors of Γ and λ.
ISSN:0092-7872
DOI:10.1080/00927877408548611
出版商:Taylor & Francis Group
年代:1974
数据来源: Taylor
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| 2. |
Localization and Codensity Triples |
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Communications in Algebra,
Volume 1,
Issue 2,
1974,
Page 145-164
J. Lambek,
B.A. Rattray,
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PDF (478KB)
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摘要:
u: A→H(I), IεJ], and letx: Q→Sbe the equalizer of ηSandSη.
ISSN:0092-7872
DOI:10.1080/00927877408548612
出版商:Taylor & Francis Group
年代:1974
数据来源: Taylor
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| 3. |
Galois Objects of Finitely Generated Projective Hopf Algebras |
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Communications in Algebra,
Volume 1,
Issue 2,
1974,
Page 165-176
Kenneth Newman,
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PDF (281KB)
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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.
ISSN:0092-7872
DOI:10.1080/00927877408548613
出版商:Taylor & Francis Group
年代:1974
数据来源: Taylor
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