Abstract
The aim of these notes is to indicate, using very simple examples, that not all results in ring theory can be derived from monoids and that there are results that deeply depend on the interplay between “ + ” and “·”.
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Fontana, M., Zafrullah, M. Studying monoids is not enough to study multiplicative properties of rings: an elementary approach. Arab.J.Math. 4, 29–34 (2015). https://doi.org/10.1007/s40065-014-0118-1
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DOI: https://doi.org/10.1007/s40065-014-0118-1