An additional structure over integer rings $\mathbb{Z}_{p^r}^n$
Rings and Algebras
2017-09-14 v1
Abstract
We present an algebraic structure in modules over integer rings with cardinality prime powers, which allows to define bases. With such structure, we prove a similar version for the basis extension theorem of linear algebra over fields. Moreover, we exhibit results involving the modules and their duals.
Keywords
Cite
@article{arxiv.1709.04358,
title = {An additional structure over integer rings $\mathbb{Z}_{p^r}^n$},
author = {Ady Cambraia and Allan O. Moura and Anderson T. Silva},
journal= {arXiv preprint arXiv:1709.04358},
year = {2017}
}