Finite Homotopy Bases of One-Relator Monoids
β Scribed by Yuji Kobayashi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 179 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
A notion of finite derivation type FDT introduced by Squier is a finiteness property on homotopy of derivation graphs of finitely presented monoids. We show that every one-relator monoid has FDT by giving an explicit finite homotopy base of the monoid.
π SIMILAR VOLUMES
Watanabe, M., Arrow relations on families of finite sets, Discrete Mathematics 94 (1991) 53-64. Let n, m and k be positive integers. Let X be a set of cardinality n, and let 9 be a family of subsets of X. We write (n, m)-, (n -1, mk), when for all 9 with (S( em, there exists an element x of X such t
A numerical procedure for the calculation of the transient indoor temperature in buildings is developed. The procedure is based on an implicit finite-difference solution of a closed set of differential equations, which express the indoor energy balance and the transient heat conduction in all elemen