Objets algébriquement clos et injectifs dans les catégories localement présentables
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Sabah Fakir (1975)
Mémoires de la Société Mathématique de France
Frauke M. Bleher, Ted Chinburg (2013)
Annales de l’institut Fourier
We develop two approaches to obstruction theory for deformations of derived isomorphism classes of complexes of modules for a profinite group over a complete local Noetherian ring of positive residue characteristic.
Birger Iversen (1986)
Bulletin de la Société Mathématique de France
Franc Forstnerič (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989.In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent characterizations...
Steiner, Richard (2004)
Homology, Homotopy and Applications
Boris Novikov, Lyudmyla Polyakova (2009)
Open Mathematics
The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.
Urs Würgler (1984)
Mathematische Annalen
J. Adámek, H. Herrlich, J. Rosický, W. Tholen (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Jacek Dębecki (2014)
Annales Polonici Mathematici
We present a very general construction of a chain complex for an arbitrary (even non-associative and non-commutative) algebra with unit and with any topology over a field with a suitable topology. We prove that for the algebra of smooth functions on a smooth manifold with the weak topology the homology vector spaces of this chain complex coincide with the classical singular homology groups of the manifold with real coefficients. We also show that for an associative and commutative algebra with unit...
Klaus Heiner Kamps (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Arvasi, Z., Ulualan, E. (2006)
Journal of Homotopy and Related Structures
A. Pirkovskii (1999)
Studia Mathematica
A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.
Flávio Coelho, Andrzej Skowroński (1996)
Fundamenta Mathematicae
An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.
K. Erdmann, D. Madsen, V. Miemietz (2010)
Colloquium Mathematicae
We consider functorially finite subcategories in module categories over Artin algebras. One main result provides a method, in the setup of bounded derived categories, to compute approximations and the end terms of relative Auslander-Reiten sequences. We also prove an Auslander-Reiten formula for the setting of functorially finite subcategories. Furthermore, we study the category of modules filtered by standard modules for certain quasi-hereditary algebras and we classify precisely when this category...
Carrasco, P., Garzon, A.R., Vitale, E.M. (2006)
Theory and Applications of Categories [electronic only]
B. Eckmann, P.J. Hilton (1971)
Commentarii mathematici Helvetici
Edgar E. Enochs, Jenda M. G. Overtoun (1994)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we use a characterization of -modules such that to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting to be the local cohomology functor of with respect to the maximal ideal where is the Krull dimension of .
Hironori Onishi (1971)
Mathematische Zeitschrift
Olympia Talelli (1980)
Commentarii mathematici Helvetici
K.-H. Ulbrich (1987)
Compositio Mathematica
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