Grobner-Shirshov bases and embedding of a semigroup in a group

Küçük Resim Yok

Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Jangjeon Mathematical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The main goal of this paper is to show that if a group G has a Grobner-Shirshov basis R that satisfies the condition R+, then the semigroup P (with positive rules in R as a defining relation) embeds in this group G. As a consequence of our result, we obtain that the semigroup B+n+1 of braids can be embedded in the braid group.

Açıklama

Anahtar Kelimeler

Braid group, Embeddability, Grobner-Shirshov basis, Semigroup

Kaynak

Advanced Studies in Contemporary Mathematics (Kyungshang)

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

25

Sayı

4

Künye