156
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Unifying strongly clean power series rings

&
Pages 4448-4462 | Received 29 Jan 2018, Published online: 19 Mar 2018

References

  • Borooah, G., Diesl, A. J., Dorsey, T. J. (2007). Strongly clean triangular matrix rings over local rings. J. Algebra 312(2):773–797.
  • Chen, W. (2006). A question on strongly clean rings. Commun. Algebra 34(7):2347–2350.
  • 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.
  • Chen, J., Yang, X., Zhou, Y. (2006). On strongly clean matrix and triangular matrix rings. Commun. Algebra 34(10):3659–3674.
  • Chen, J., Yang, X., Zhou, Z. (2006). When is the 2×2 matrix ring over a commutative local ring strongly clean? J. Algebra 301(1):280–293.
  • Chen, J., Zhou, Y. (2007). Strongly clean power series rings. Proc. Edinb. Math. Soc. (2) 50(1):73–85.
  • Diesl, A. J. (2006). Classes of strongly clean rings. Ph.D. Dissertation, University of California, Berkeley.
  • Diesl, A. J. (2013). Nil clean rings. J. Algebra 383:197–211.
  • Diesl, A. J., Dorsey, T. J. (2013). Strongly clean matrices over arbitrary rings, preprint.
  • Diesl, A. J., Dorsey, T. J., Garg, S., Khurana, D. (2012). A note on completeness and strongly clean rings, preprint.
  • Diesl, A. J., Dorsey, T. J., Iberkleid, W., LaFuente-Rodriguez, R., McGovern, W (2013). Strongly clean triangular matrices over abelian rings, preprint.
  • Dorsey, T. (2006). Cleanness and strong cleanness of rings of matrices. Ph.D. dissertation, University of California, Berkeley.
  • Fan, L., Yang, X. (2006). On strongly clean matrix rings. Glasg. Math. J. 48(3):557–566.
  • Lam, T. Y. (2001). A first Course in Noncommutative Rings, Vol. 131 of Graduate Texts in Mathematics, 2nd ed. New York: Springer-Verlag.
  • Li, B. (2009). Strongly clean matrix rings over noncommutative local rings. Bull. Korean Math. Soc. 46(1):71–78.
  • Nicholson, W. K. (1999). Strongly clean rings and Fitting’s lemma. Commun. Algebra 27(8):3583–3592.
  • 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.
  • Yang, X., Zhou, Y. (2007). Some families of strongly clean rings. Linear Algebra Appl. 425(1):119–129.

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.