English

A model for the relatively free graded algebra of block triangular matrices with entries from a graded algebra

Rings and Algebras 2023-01-10 v2

Abstract

Let G be a group and A be a G-graded algebra satisfying a polynomial identity. We buid up a model for the relative free G-graded algebra and we obtain, as an application, the "factoring" property for the T_G-ideals of block triangular matrices with entries from the finite dimensional Grassmann algebra E for some particular Z_2-grading.

Keywords

Cite

@article{arxiv.1211.6310,
  title  = {A model for the relatively free graded algebra of block triangular matrices with entries from a graded algebra},
  author = {Thiago Castilho de Mello and Lucio Centrone},
  journal= {arXiv preprint arXiv:1211.6310},
  year   = {2023}
}