References
- G. Borooah, A. J. Diesl, and T. J. Dorsey, Strongly clean matrix rings over commutative local rings, J. Pure Appl. Algebra 212 (2008), no. 1, 281-296. https://doi.org/10.1016/j.jpaa.2007.05.020
-
W. D. Burgess and P. Menal, On strongly
$\pi$ -regular rings and homomorphism into them, Comm. Algebra 16 (1988), no. 8, 1701-1725. https://doi.org/10.1080/00927879808823655 - V. P. Camillo and H. P. Yu, Exchange rings, Units and idempotents, Comm. Algebra 22 (1994), no. 12, 4737-4749. https://doi.org/10.1080/00927879408825098
- V. P. Camillo and D. Khurana, A characterization of unit regular rings, Comm. Algebra 29 (2001), no. 5, 2293-2295. https://doi.org/10.1081/AGB-100002185
-
J. Chen, X. Yang, and Y. Zhou, When is the 2
$\times$ 2 matrix ring over a commutative local ring, strongly clean?, J. Algebra 301 (2006), no. 1, 280-293. https://doi.org/10.1016/j.jalgebra.2005.08.005 - J. Chen and Y. Zhou, Strongly clean power series rings, Proc. Edinb. Math. Soc. (2) 50 (2007), no. 1, 73-85. https://doi.org/10.1017/S0013091505000404
- T. J. Dorsey, Cleanness and Strong Cleanness of Rings of Matrices, Dissertation, UC-Berkeley, 2006.
- J. Han and W. K. Nicholson, Extensions of clean rings, Comm. Algebra 29 (2001), no. 6, 2589-2595. https://doi.org/10.1081/AGB-100002409
- T. Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag, 1991.
- Y. Li, Strongly clean matrix rings over local rings, J. Algebra 312 (2007), no. 1, 397-404. https://doi.org/10.1016/j.jalgebra.2006.10.032
- W. K. Nicholson, Lifting idempotents and exchange rings, Trans. Amer. Math. Soc. 229 (1977), 269-278. https://doi.org/10.2307/1998510
- W. K. Nicholson, Strongly clean rings and Fitting's lemma, Comm. Algebra 27 (1999), no. 8, 3583-3592. https://doi.org/10.1080/00927879908826650
- Z. Wang and J. Chen, On two open problems about strongly clean rings, Bull. Austral. Math. Soc. 70 (2004), no. 2, 279-282. https://doi.org/10.1017/S0004972700034493
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