Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets. (Q441403)

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scientific article; zbMATH DE number 6070516
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Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets.
scientific article; zbMATH DE number 6070516

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    Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets. (English)
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    23 August 2012
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    Nazarova and Roiter's differentiation algorithm with respect to a maximal element in a poset and its counterpart concerning a minimal element are revisited. The differentiation is described by means of a principal ideal or a principal filter and viewed in relation to restriction and induction in group theory, and Auslander's concept of projectivization.
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    partially ordered sets
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    representations
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    differentiation algorithms
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    adjoint functors
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    projectivizations
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    induction functors
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    restriction functors
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