Coherent presentations of monoids with a right-noetherian Garside family

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2023-02-20 DOI:10.1007/s40062-023-00323-4

Pierre-Louis Curien, Alen Ɖurić, Yves Guiraud

引用次数: 1

Abstract

This paper shows how to construct coherent presentations (presentations by generators, relations and relations among relations) of monoids admitting a right-noetherian Garside family. Thereby, it resolves the question of finding a unifying generalisation of the following two distinct extensions of construction of coherent presentations for Artin-Tits monoids of spherical type: to general Artin-Tits monoids, and to Garside monoids. The result is applied to some monoids which are neither Artin-Tits nor Garside.

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具有右右Garside族的一元群的连贯表示

本文讨论了如何构造承认右noether Garside族的一元群的连贯表示(生成表示、关系表示和关系间关系表示)。因此，它解决了寻找球面型Artin-Tits一元群连贯表示构造的以下两个不同扩展的统一概括的问题:一般Artin-Tits一元群和Garside一元群。结果应用于一些既不是Artin-Tits也不是Garside的monoids。

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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来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.