Arabian Journal of Mathematics

, Volume 4, Issue 1, pp 29–34 | Cite as

Studying monoids is not enough to study multiplicative properties of rings: an elementary approach

  • Marco FontanaEmail author
  • Muhammad Zafrullah
Open Access


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 “·”.

Mathematics Subject Classification

20M14 20M12 20M25 13A15 13G05 


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© The Author(s) 2014

Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Authors and Affiliations

  1. 1.Dipartimento di Matematica e FisicaUniversità degli Studi “Roma Tre”RomeItaly
  2. 2.Department of MathematicsIdaho State UniversityPocatelloUSA

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