Recurrence relations and Hilbert series of the monoid associated with star topology

DOI10.1155/2020/5215631zbMath1489.20024OpenAlexW3080219434MaRDI QIDQ827197

Mobeen Munir, Abdul Rauf Nizami, Zaffar Iqbal, Jia-Bao Liu, Faiza Azam, Jiang-Hua Tang

Publication date: 7 January 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5215631

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36)

Cites Work

• Growth functions for Artin monoids.
• Growth series of Coxeter groups and Salem numbers
• The diamond lemma for ring theory
• Hilbert functions of graded algebras
• Some recurrence relations and Hilbert series of right-angled affine Artin monoid \(M(\widetilde{D}_n^{\infty})\)
• Theory of braids
• Hilbert Series of Positive Braids
• GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE
• On the Homology of Associative Algebras
• Groebner-Shirshov basis for the braid semigroup
• Hilbert series of the braid monoid $MB_{4}$ in band generators
• Universal Upper Bound for the Growth of Artin Monoids
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