À propos de cet article
Publié en ligne: 31 mars 2018
Pages: 69 - 80
Reçu: 13 mai 2017
Accepté: 22 juin 2017
DOI: https://doi.org/10.2478/auom-2018-0003
Mots clés
© 2018
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean. Such elements are determined in 2×2 matrix rings over commutative domains or over arbitrary division rings and for rings of integers modulo n.