Codimensions of algebras and growth functions

By Antonio Giambruno, Sergey P. Mishchenko, Mikhail V. Zaicev. 2008

83 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0196e0ed79911af9a66cf846682fd2e728c2b9e3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. E. Aljadeff
2. Antonio Giambruno
3. D. La Mattina
4. Alexey Gordienko

In Computational Theory and Mathematics

1. E. Aljadeff
2. Antonio Giambruno
3. D. La Mattina
4. Alexey Gordienko

In Geometry and Topology

1. Antonio Giambruno
2. E. Aljadeff
3. D. La Mattina
4. Alexey Gordienko

Citations in the corpus

• Graded polynomial identities and codimensions: computing the exponential growth (2010, background): “In fact in [9] the authors constructed for any real number α > 1 an algebra whose codimensions are exponentially bounded and their exponential rate of growth is equal to α.”
• Graded polynomial identities and exponential growth (2009, background): “In [12] the authors constructed for any real number α > 1 an algebra whose exponential growth of the codimensions is equal to α.”