On the Artin Semigroups

This paper introduces the concept of the Artin semigroup of a large (extra large) type. We prove their injective embedding in the corresponding Artin groups of large (extra large) type and the solvability of the word conjugacy problem in this class of semigroups.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-09, Vol.257 (6), p.772-779
Main Authors: Bezverkhnii, V. N., Ustyan, A. E.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Semigroups
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Description
Summary:This paper introduces the concept of the Artin semigroup of a large (extra large) type. We prove their injective embedding in the corresponding Artin groups of large (extra large) type and the solvability of the word conjugacy problem in this class of semigroups.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05518-9