Tripotents: a class of strongly clean elements in rings-Reference-Cited by-同舟云学术

Tripotents: a class of strongly clean elements in rings

Published:2018-03-01 Issue:1 Volume:26 Page:69-80
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Călugăreanu Grigore¹

Affiliation:

1. Department of Mathematics, Babeş - Bolyai University, str. Kogălniceanu 1, Constanta , Romania

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2018-0003

Reference9 articles.

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3. [3] A.M. Bikchentaev, R.S. Yakushev Representation of tripotents and repre- sentations via tripotents. Linear Algebra and its Applications 435 (2011) 2156-2165.

4. [4] H. Chen On 2 × 2 strongly clean matrices. Bull. Korean Math. Soc. 50 (1) (2013), 125–134.10.4134/BKMS.2013.50.1.125

5. [5] A. J. Diesl, T. J. Dorsey Strongly clean matrices over arbitrary rings. Journal of Algebra 399 (2014), 854-869.

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