Normal form in Hecke-Kiselman monoids associated with simple oriented graphs

We generalize Kudryavtseva and Mazorchuk’s concept of a canonical form of elements [9] in Kiselman’s semigroups to the setting of a Hecke-Kiselman monoid HKГ associated with a simple oriented graph Г. We use confluence properties from [7] to associate with each element in HKГ a normal form; normal f...

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2020
Hauptverfasser: Aragona, R., D'Andrea, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/188560
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Normal form in Hecke-Kiselman monoids associated with simple oriented graphs / R. Aragona, A. D'Andrea // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 161–171. — Бібліогр.: 15 назв. — англ.

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