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Displaying similar documents to “On the Bass-Quillen Conjecture Concerning Projective Modules Over Polynomial Rings.”

Categorifications of the polynomial ring

Mikhail Khovanov, Radmila Sazdanovic (2015)

Fundamenta Mathematicae

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We develop a diagrammatic categorification of the polynomial ring ℤ[x]. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.