### Homomorphism between Rings

#### Abstract

In this paper, using elementary algebra and analysis, we characterize and compute all ring homomorphism from \(\mathbb{Z}^n\) to \(\mathbb{Z}^m\) and from \(\mathbb{Q}^n\) to \(\mathbb{Q}^m\). Also, we characterize and compute all continuous ring homomorphism from \(\mathbb{R}^n\) to \(\mathbb{R}\).

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DOI: http://dx.doi.org/10.26713%2Fcma.v11i3.1415

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