Another graded algebra with a nonrational Hilbert series-Reference-Cited by-同舟云学术

Another graded algebra with a nonrational Hilbert series

Published:1981 Issue:1 Volume:81 Page:19-22
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kobayashi Yuji

Abstract

Recently J. B. Shearer has constructed a graded algebra with a nonrational Hilbert series, a counterexample to Govorov’s conjecture. In this note we give a simpler example.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-081-01/S0002-9939-1981-0589129-3/S0002-9939-1981-0589129-3.pdf

Reference7 articles.

1. La série de Poincaré-Betti d’une algèbre graduée de type fini à une relation est rationnelle;Backelin, Jörgen;C. R. Acad. Sci. Paris S\'{e}r. A-B,1978

2. Graded algebras;Govorov, V. E.;Mat. Zametki,1972

3. The dimension of graded algebras;Govorov, V. E.;Mat. Zametki,1973

4. The Hilbert series of some graded algebras and the Poincaré series of some local rings;Kobayashi, Yuji;Math. Scand.,1978

5. Relations between Poincaré-Betti series of loop spaces and of local rings;Roos, Jan-Erik,1979

Cited by 3 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. Graded Algebras, Algebraic Functions, Planar Trees, and Elliptic Integrals;Springer INdAM Series;2020-11-27

2. Context-Free Languages and Associative Algebras with Algebraic Hilbert Series;Springer INdAM Series;2020-11-27

3. Noncommutative algebras, context-free grammars and algebraic Hilbert series;Journal of Symbolic Computation;2020-11