Back to Search
Start Over
Noncommutative algebras, context-free grammars and algebraic Hilbert series.
- Source :
-
Journal of Symbolic Computation . Nov2020, Vol. 101, p28-50. 23p. - Publication Year :
- 2020
-
Abstract
- In this paper we introduce a class of noncommutative (finitely generated) monomial algebras whose Hilbert series are algebraic functions. We use the concept of graded homology and the theory of unambiguous context-free grammars for this purpose. We also provide examples of finitely presented graded algebras whose corresponding leading monomial algebras belong to the proposed class and hence possess algebraic Hilbert series. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07477171
- Volume :
- 101
- Database :
- Academic Search Index
- Journal :
- Journal of Symbolic Computation
- Publication Type :
- Academic Journal
- Accession number :
- 143703330
- Full Text :
- https://doi.org/10.1016/j.jsc.2019.06.005