A SHORT NOTE ON IDEMPOTENT RINGS
Keywords:
idempotent, artinian ring, noetherian ringAbstract
In this paper we introduce a new class of rings that we say idempotent rings. We call a ring R is idempotent, if every ideal of R is generated by an idempotent element. In this paper we prove some properties of this rings, where one of the important results is the following:
Let t ≥ 2 be an integer number. Then the ring \(\mathbb{Z}_t\) is an idempotent ring if and only if t= p1p2 . . . pn, where all of the pi are distinct prime numbers.
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Published
2019-02-27
How to Cite
A’zami, J. (2019). A SHORT NOTE ON IDEMPOTENT RINGS. Italian Journal of Pure and Applied Mathematics, 41, 65–69. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7152
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Section
Articoli - Forum Editrice
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Copyright (c) 2019 J. A’zami
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
