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arXiv 2102.12468math.CT
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伪分配律的呈现形式

Presentations of pseudodistributive laws

Charles Walker

AI总结:

本文研究伪分配律的多种等价呈现形式,在伪单子无迭代呈现下推导出十边形、伪代数、无迭代与扭曲四种形式,并证明五个融贯公理足以刻画通常的幺半定义。

摘要:

通过考虑所涉及的伪单子以无迭代形式呈现的情形,我们推导出伪分配律的若干种替代呈现形式,包括“十边形”形式、伪代数形式、无迭代形式和扭曲形式。作为应用,我们证明在伪分配律通常的幺半定义中,五个融贯公理即已足够。

英文摘要:

By considering the situation in which the involved pseudomonads are presented in no-iteration form, we deduce a number of alternative presentations of pseudodistributive laws including a 'decagon' form, a pseudoalgebra form, a no-iteration form, and a warping form. As an application, we show that five coherence axioms suffice in the usual monoidal definition of a pseudodistributive law.

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。

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