外代数中纯偶元零化子的极小生成元
Minimal Generators of Annihilators of Neat Even Elements in The Exterior Algebra
摘要:
本文给出了当基场为正特征时,向量空间外代数的偶纯元的零化子的极小生成元集,从而证明了文[3]中的猜想。为了做到这一点,我们大量使用[1]和[2]中得到的结果。这也使我们能够展示一个向量空间的基础上考虑的零化子。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。