Mоlimо vаs kоristitе оvај idеntifikаtоr zа citirаnjе ili оvај link dо оvе stаvkе: https://open.uns.ac.rs/handle/123456789/19458
Nаziv: Enumeration of idempotents in planar diagram monoids
Аutоri: Dolinka Igor 
East James
Evangelou Athanasios
FitzGerald Des
Ham Nicholas
Hyde James
Loughlin Nicholas
Mitchell James D.
Dаtum izdаvаnjа: 2019
Čаsоpis: Journal of Algebra
Sažetak: © 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
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