Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets

Mark Kleiner; Markus Reitenbach

doi:10.1016/j.jalgebra.2011.12.018

Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets

Mark Kleiner, Markus Reitenbach

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial construction of the derived set and for the differentiation functor.

Original language	English (US)
Pages (from-to)	224-248
Number of pages	25
Journal	Journal of Algebra
Volume	353
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.12.018
State	Published - Mar 1 2012

Keywords

Adjoint functors
Differentiation algorithm
Partially ordered set
Projectivization
Representation

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2011.12.018

Cite this

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title = "Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets",

abstract = "Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial construction of the derived set and for the differentiation functor.",

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KW - Adjoint functors

KW - Differentiation algorithm

KW - Partially ordered set

KW - Projectivization

KW - Representation

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Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets

Abstract

Keywords

ASJC Scopus subject areas

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