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The Bulletin de la S. M. F. as mentioned in this paper implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.html).Abstract:
© Bulletin de la S. M. F., 1962, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.read more
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Book
Local Cohomology: An Algebraic Introduction with Geometric Applications
Markus Brodmann,Rodney Y. Sharp +1 more
TL;DR: In this article, a detailed algebraic introduction to Grothendieck's local cohomology theory is provided, with many illustrations of applications of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties.
Book ChapterDOI
Higher Algebraic K-Theory of Schemes and of Derived Categories
R. W. Thomason,Thomas Trobaugh +1 more
TL;DR: In this article, a localization theorem for the K-theory of commutative rings and of schemes is presented, relating the k-groups of a scheme, of an open subscheme, and of those perfect complexes on the scheme which are acyclic on the open scheme.
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$K$-theory and stable algebra
TL;DR: In this article, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the IHES agreement with the conditions générales d'utilisation.
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Semi-abelian categories
TL;DR: Semi-abelian categories as mentioned in this paper allow for a generalized treatment of abelian-group and module theory, and have a finite coproducts and a zero object.
References
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Duality for modules and its applications to the theory of rings with minimum condition
紀一 森田,Kiiti Morita +1 more
TL;DR: In this paper, a theory of dualities for modules is developed and some applications to the theory of rings with minimum condition for one-sided ideals are given, where the dualities with which we are concerned are functorial dualities based on the notion of functors in the sense of Eilenberg and MacLane [5] and are not axiomatic ones such as discussed by Buchsbaum [2].