从自由幂等单体到自由乘法幂等钻机

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-30 DOI:arxiv-2408.17440

Morgan Rogers

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摘要

我们证明了有限多个生成器上的自由镜像是有限的，并计算了它的大小。这项工作的最初动力来自于去中心化社交网络 Mastodon 上的一项合作努力，即计算两个生成器上自由 mirig 的大小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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From free idempotent monoids to free multiplicatively idempotent rigs

A multiplicatively idempotent rig (which we abbreviate to mirig) is a rig satisfying the equation r2 = r. We show that a free mirig on finitely many generators is finite and compute its size. This work was originally motivated by a collaborative effort on the decentralized social network Mastodon to compute the size of the free mirig on two generators.

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arXiv - MATH - Rings and Algebras

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