286
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

On uniquely clean elements

Pages 1835-1839 | Received 20 Aug 2021, Accepted 28 Oct 2022, Published online: 21 Nov 2022

References

  • Anderson, D. D., Camillo, V. P. (2002). Commutative rings whose elements are a sum of a unit and idempotent. Commun. Algebra. 30(7):3327–3336. DOI: 10.1081/AGB-120004490.
  • Borooah, G., Diesl, A. J., Dorsey, T. J. (2007). Strongly clean triangular matrix rings over local rings. J. Algebra. 312(2):773–797. DOI: 10.1016/j.jalgebra.2006.10.029.
  • Chen, J., Wang, Z., Zhou, Y. (2009). Rings in which elements are uniquely the sum of an idempotent and a unit that commute. J. Pure Appl. Algebra. 213(2):215–223. DOI: 10.1016/j.jpaa.2008.06.004.
  • Khurana, D., Lam, T. Y., Nielsen, P. P., Zhou, Y. (2015). Uniquely clean elements in rings. Commun. Algebra. 43(5):1742–1751. DOI: 10.1080/00927872.2013.879158.
  • Lee, T. K., Zhou, Y.(2014). From boolean rings to clean rings. In: Huynh, D. V., Jain, S. K., Sergio, R., López-Permouth, Rizvi, S. T., Roman, C. S. eds. Ring Theory and Its Applications. Providence, RI: Contemparory Mathematics (American Mathematical Society), pp. 223–232.
  • Nicholson, W. K. (1977). Lifting idempotents and exchange rings. Trans. Amer. Math. Soc. 229:269–278. DOI: 10.1090/S0002-9947-1977-0439876-2.
  • Nicholson, W. K. (1999). Strongly clean rings and Fitting’s lemma. Commun. Algebra. 27(8):3583–3592. DOI: 10.1080/00927879908826649.
  • Nicholson, W. K., Zhou, Y. (2004). Rings in which elements are uniquely the sum of an idempotent and a unit. Glasg. Math. J. 46(2):227–236. DOI: 10.1017/S0017089504001727.
  • Nicholson, W. K., Zhou, Y. (2005). Clean general rings. J. Algebra. 291(1):297–311. DOI: 10.1016/j.jalgebra.2005.01.020.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.