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Minimal Generators of Annihilators of Neat Even Elements in The Exterior Algebra

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arxiv 1808.00686 v2 pith:RYY5BM2D submitted 2018-08-02 math.RA

classification math.RA
keywords algebraannihilatorselementsevenexhibitexteriorgeneratorsminimal
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In this paper we exhibit a minimal set of generators form the annihilator of even neat elements of the exterior algebra of a vector space, when the base field is of positive characteristic and thus we prove the conjecture we established in [3]. In order to do that we heavily use the results obtained in [1] and [2]. This also allows us to exhibit a vector space basis for the annihilators under consideration.

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