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Garside Theory: a Composition--Diamond Lemma Point of View

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 نشر من قبل Viktor Lopatkin
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Viktor Lopatkin




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This paper shows how to obtain the key concepts and notations of Garside theory by using the Composition--Diamond lemma. We also show that in some cases the greedy normal form is exactly a Grobner--Shirshov normal form and a family of a left-cancellative category is a Garside family, if and only if a suitable set of reductions is confluent up to some congruence on words.

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