Enumeration of idempotents in planar diagram monoids

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Назив:	Enumeration of idempotents in planar diagram monoids
Аутори:	Dolinka Igor East James Evangelou Athanasios FitzGerald Des Ham Nicholas Hyde James Loughlin Nicholas Mitchell James D.
Датум издавања:	2019
Часопис:	Journal of Algebra
Сажетак:	© 2018 Elsevier Inc. We classify and enumerate the idempotents in several planar diagram monoids: namely, the Motzkin, Jones (a.k.a. Temperley–Lieb) and Kauffman monoids. The classification is in terms of certain vertex- and edge-coloured graphs associated to Motzkin diagrams. The enumeration is necessarily algorithmic in nature, and is based on parameters associated to cycle components of these graphs. We compare our algorithms to existing algorithms for enumerating idempotents in arbitrary (regular ⁎-) semigroups, and give several tables of calculated values.
URI:	https://open.uns.ac.rs/handle/123456789/19458
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2018.11.014
Налази се у колекцијама:	PMF Publikacije/Publications