论文标题

脱氨基乳酸的身份和碱基

Identities and bases in the hypoplactic monoid

论文作者

Cain, Alan J., Malheiro, António, Ribeiro, Duarte

论文摘要

本文介绍了下裂裂单粒子所满足的身份的新结果。我们展示了如何将任何等级的非乳酸单嵌体嵌入严格大于2(包括无限等级)的直接乘积,该副本是等级2的或非乳酸型单体的副本。这证实了所有等级的下型单体大于或等于2完全满足相同身份。然后,我们给出这些身份的完整表征,并证明由裂解单粒子产生的品种通过为其提供有限的基础,具有有限的公理级别。

This paper presents new results on the identities satisfied by the hypoplactic monoid. We show how to embed the hypoplactic monoid of any rank strictly greater than 2 (including infinite rank) into a direct product of copies of the hypoplactic monoid of rank 2. This confirms that all hypoplactic monoids of rank greater than or equal to 2 satisfy exactly the same identities. We then give a complete characterization of those identities, and prove that the variety generated by the hypoplactic monoid has finite axiomatic rank, by giving a finite basis for it.

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