Published Online: Mar 31, 2018
Page range: 69 - 80
Received: May 13, 2017
Accepted: Jun 22, 2017
DOI: https://doi.org/10.2478/auom-2018-0003
Keywords
© 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.