English

Gr\"obner bases of modules over sigma-PBW extensions

Rings and Algebras 2015-02-02 v1

Abstract

For sigma-PWB extensions, we extend to modules the theory of Gr\"obner bases of left ideals presented in [5]. As an application, if A is a bijective quasi-commutative sigma-PWB extension, we compute the module of syzygies of a submodule of the free module A^m.

Keywords

Cite

@article{arxiv.1501.07882,
  title  = {Gr\"obner bases of modules over sigma-PBW extensions},
  author = {Haydee Jiménez and Oswaldo Lezama},
  journal= {arXiv preprint arXiv:1501.07882},
  year   = {2015}
}
R2 v1 2026-06-22T08:16:55.213Z