Gröbner–Shirshov basis for the braid group in the Artin–Garside generators-Reference-Cited by-同舟云学术

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Gröbner–Shirshov basis for the braid group in the Artin–Garside generators

Published:2008-06 Issue:6-7 Volume:43 Page:397-405
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Bokut L.A.

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference8 articles.

1. Theory of braids;Artin;Ann. Math.,1947

2. Unsolvability of the word problem, and subalgebras of finitely presented Lie algebras;Bokut;Izv. Akad. Nauk SSSR Ser. Mat.,1972

3. Imbeddings into simple associative algebras;Bokut;Algebra Logika,1976

4. Markov and Artin normal form theorem for braid groups;Bokut;Comm. Algebra,2007

5. Gröbner–Shirshov basis for the braid semigroup;Bokut,2003

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A diamond lemma for Hecke-type algebras;Transactions of the American Mathematical Society;2021-12-02

2. Normal forms in braid groups with respect to some Gröbner–Shirshov basis;Journal of Knot Theory and Its Ramifications;2020-11

3. Word problem for special braid groups;Quaestiones Mathematicae;2019-03-25

4. Gröbner–Shirshov basis method for multiple tensor products of some associative algebras;Asian-European Journal of Mathematics;2019-02

5. Gröbner-Shirshov basis for the singular part of the Brauer semigroup;TURKISH JOURNAL OF MATHEMATICS;2018-05-08

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