The Dimensionality of Quotient Algebras

@inproceedings{KROOKTheDO,
  title={The Dimensionality of Quotient Algebras},
  author={CHRIS KROOK}
}
  • CHRIS KROOK
Once we have found a Gröbner basis GB for an ideal I in some free algebra U , we can consider the quotient algebra Q = U/〈GB〉. It is not guaranteed that this quotient algebra will always be finite dimensional. In fact, there are many cases where the quotient algebra is infinite dimensional and has polynomial or even exponential growth. We present some functions that investigate the dimensionality of the quotient algebra. 

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-2 of 2 references

Combinatorial and Asymptotic Methods In Algebra Algebra-VI, Encyclopedia of Mathematical Sciences, Volume 57, Springer (1995),5-196 E-mail address: C.Krook@student.tue.nl

  • V. A. Ufnarovski
  • 1995
1 Excerpt

A Growth Criterion for Graphs and Algebras Defined by Words

  • V. A. Ufnarovski
  • Mathematical Notes
  • 1982
1 Excerpt

Similar Papers

Loading similar papers…