<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></abstract>

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.

Tripotents: a class of strongly clean elements in rings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Tripotents: a class of strongly clean elements in rings"}

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...

Tripotents: a class of strongly clean elements in rings

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
periodic element, tripotent, strongly clean element, order two unit

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Tripotents: a class of strongly clean elements in rings

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

Keywordsperiodic element, tripotent, strongly clean element, order two unit

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
periodic element, tripotent, strongly clean element, order two unit