English

Gr\"obner bases and syzygies on bimodules

Rings and Algebras 2016-08-16 v1

Abstract

We propose a new more efficient method for the computation of two-sided Gr\"obner bases of ideals and bimodules shifting the problem to the enveloping algebra. Arising from the ideas this method involves, we introduce the notion of two-sided syzygy, which reveals to be useful in the computation of the intersection of bimodules. Further applications are left for a sequel.

Keywords

Cite

@article{arxiv.math/0405550,
  title  = {Gr\"obner bases and syzygies on bimodules},
  author = {M. García Román and S. García Román},
  journal= {arXiv preprint arXiv:math/0405550},
  year   = {2016}
}

Comments

14 pages, 4 algorithms, submitted to J. Symb. Comput

R2 v1 2026-07-22T17:06:01.499Z