Models for synthetic supergeometry

David N. Yetter

Displaying similar documents to “Models for synthetic supergeometry”

The Zariski category of graded commutative rings

Yves Diers (1992)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Categorical investigation of $Γ$ -graded $Λ$ -algebras

Huq, S.A., Aijaz, Kulsoom (1969)

Portugaliae mathematica

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Functions of class C without derivatives.

Gijs M. Tuynman (1997)

Publicacions Matemàtiques

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We describe a general axiomatic way to define functions of class C, k ∈ N∪{∞} on topological abelian groups. In the category of Banach spaces, this definition coincides with the usual one. The advantage of this axiomatic approach is that one can dispense with the notion of norms and limit procedures. The disadvantage is that one looses the derivative, which is replaced by a local linearizing factor. As an application we use this approach to define C functions in the setting of graded/super...

Universal $q$ -differential calculus and $q$ -analog of homological algebra.

Dubois-Violette, M., Kerner, R. (1996)

Acta Mathematica Universitatis Comenianae. New Series

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A structure sheaf on the projective spectrum of a graded fully bounded Noetherian ring.

Samir Mahmoud, S. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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The André-Quillen homology of commutative graded algebras

Tadeusz Józefiak (1976)

Fundamenta Mathematicae

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The Hochschild cohomology of a closed manifold

Yves Felix, Jean-Claude Thomas, Micheline Vigué-Poirrier (2004)

Publications Mathématiques de l'IHÉS

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Let M be a closed orientable manifold of dimension and $𝒞^{*} (M)$ be the usual cochain algebra on M with coefficients in a field. The Hochschild cohomology of M, $H H^{*} (𝒞^{*} (M); 𝒞^{*} (M))$ is a graded commutative and associative algebra. The augmentation map $ε : 𝒞^{*} (M) \to 𝑘$ induces a morphism of algebras $I : H H^{*} (𝒞^{*} (M); 𝒞^{*} (M)) \to H H^{*} (𝒞^{*} (M); 𝑘)$ . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of $H H^{*} (𝒞^{*} (M); 𝑘)$ , which is in general quite small. The algebra $H H^{*} (𝒞^{*} (M); 𝒞^{*} (M))$ is expected to...

Categorical methods in graded ring theory.

Angel del Río (1992)

Publicacions Matemàtiques

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Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring. ...

Deformations of graded algebras.

Jan O. Kleppe (1979)

Mathematica Scandinavica

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