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arXiv · 1709.04358

An additional structure over integer rings $\mathbb{Z}_{p^r}^n$

Ady Cambraia Jr·Allan O. Moura·Anderson T. Silva
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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.

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Ady Cambraia Jr, Allan O. Moura, Anderson T. Silva. 2017-09-13. An additional structure over integer rings $\mathbb{Z}_{p^r}^n$. https://arxiv.org/abs/1709.04358

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