Crossed modules, Crossed n-fold extension of groups and Cohomology theory in Abstract Categories

George Danas

Displaying similar documents to “Crossed modules, Crossed n-fold extension of groups and Cohomology theory in Abstract Categories”

Associativity constraints, braidings and quantizations of modules with grading and action.

Huru, H.L. (2006)

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George Danas (1999)

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Crossed n-folds extensions of groups and cohomology.

Johannes Huebschmann (1980)

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On Buchsbaum type modules and the annihilator of certain local cohomology modules

Ahmad Khojali (2017)

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We consider the annihilator of certain local cohomology modules. Moreover, some results on vanishing of these modules will be considered.

Crossed modules in $C a t$ and a Brown-Spencer theorem for $2$ -categories

Timothy Porter (1985)

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On categorical crossed modules.

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F-modules: applications to local cohomology and D-modules in characteristic p>0.

Gennady Lyubeznik (1997)

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Coproduct of Crossed A-Modules of R-Algebroids

Osman Avcıoglu, Ibrahim Ilker Akça (2017)

Topological Algebra and its Applications

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In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.

On infinite induced crossed modules and the homotopy 2-type of mapping cones.

Brown, Ronald, Wensley, Christopher D. (1995)

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Baer invariants of crossed modules.

Leoncio Franco Fernández (1991)

Extracta Mathematicae

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The purpose of this paper is to establish a theory of Baer invariants, associated to certain types of varieties of (pre)crossed modules, and to obtain a five term exact sequence and 'the basic theorem' of Stallings in this setting. Our method, which extends results of [4] and aspects of [9], gives a systematic treatment for several cases.

Torsors and special extensions

Maria J. Vale (1985)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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The injectivity of Frobenius acting on cohomology and local cohomology modules.

Kei-ichi Watanabe, Nobuo Hara (1996)

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