178
Views
3
CrossRef citations to date
0
Altmetric
Articles

On strongly m-clean rings and m-semiperfect rings

ORCID Icon
Pages 4531-4541 | Received 31 Aug 2019, Accepted 01 May 2020, Published online: 01 Jun 2020

References

  • Bass, H. (1960). Finitistic dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc. 95(3):466–488. DOI: 10.1090/S0002-9947-1960-0157984-8.
  • Chen, H. (2010). On strongly J-clean rings. Commun. Algebra 38(10):3790–3804. DOI: 10.1080/00927870903286835.
  • Camillo, V. P., Yu, H. P. (1994). Exchange rings, units and idempotents. Commun. Algebra 22(12):4737–4749. DOI: 10.1080/00927879408825098.
  • Chen, W. (2006). A question on strongly clean rings. Commun. Algebra 34(7):2347–2350. DOI: 10.1080/00927870600550202.
  • Diesl, A. J. (2013). Nil clean rings. J. Algebra 383:197–211. DOI: 10.1016/j.jalgebra.2013.02.020.
  • Han, J., Nicholson, W. K. (2001). Extensions of clean rings. Commun. Algebra 29(6):2589–2595. DOI: 10.1081/AGB-100002409.
  • Khurana, D., Lam, T. Y. (2004). Clean matrices and unit-regular matrices. J. Algebra. 280(2):683–698. DOI: 10.1016/j.jalgebra.2004.04.019.
  • Lam, T. Y. (1990). A First Course in Noncommutative Rings. New York: Springer.
  • McGovern, W. W. (2006). Neat rings. J. Pure. Appl. Algebra 205(2):243–265. DOI: 10.1016/j.jpaa.2005.07.012.
  • 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 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. Glasgow Math. J. 46(2):227–236. DOI: 10.1017/S0017089504001727.
  • Purkait, S., Dutta, T. K., Kar, S. (2020). On m-clean and strongly m-clean rings. Commun. Algebra 48(1):218-227.
  • Ster, J. (2012). Corner rings of a clean ring need not be clean. Commun. Algebra 40(5):1595–1604.
  • Yang, X., Zhou, Y. (2008). Strong cleanness of 2 × 2 matrix ring over a genaral ring. J. Algebra 320(6):2280–2290. DOI: 10.1016/j.jalgebra.2008.06.012.

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.