References

  1. Borooah G., Diesl A.J., Dorsey T.J. Strongly clean triangular matrix rings over local rings. J. Algebra 2007, 312 (2), 773–797. doi:10.1016/j.jalgebra.2006.10.029
  2. Chung Y.W., Lee Y. Structures concerning group of units. J. Korean Math. Soc. 2017, 54 (1), 177–191. doi:10.4134/JKMS.j150666
  3. Cui J. Quasinilpotents in rings and their applications. Turkish J. Math. 2018, 42 (5), 2847–2855. doi:10.3906/mat-1706-79
  4. Feller E.H. Properties of primary noncommutative rings. Trans. Amer. Math. Soc. 1958, 89 (1), 79–91. doi:10.1090/S0002-9947-1958-0098763-0
  5. Han J., Lee Y., Park S. Duo ring property restricted to group of units. J. Korean Math. Soc. 2015, 52 (3), 489–501. doi:10.4134/JKMS.2015.52.3.489
  6. Harte R.E. On quasinilpotents in rings. Panamer. Math. J. 1991, 1, 10–16.
  7. Kim D.H. Nilpotent-duo property on powers. Commun. Korean Math. Soc. 2018, 33 (4), 1103–1112. doi:10.4134/CKMS.c170453
  8. Kim H.K., Kim N.K., Lee Y. Weakly duo rings with nil Jacobson radical. J. Korean Math. Soc. 2005, 42 (3), 457–470. doi:10.4134/JKMS.2005.42.3.457
  9. Kim D.H., Yun S.J. Normality on Jacobson and nil radicals. Commun. Korean Math. Soc. 2019, 34 (1), 127–136. doi:10.4134/CKMS.c180082
  10. Krylov P.A. Isomorphism of generalized matrix rings. Algebra Logic 2008, 47 (4), 258–262. doi:10.1007/s10469-008-9016-y
  11. Lian H., Zeng Q. An extension of Cline’s formula for a generalized Drazin inverse. Turkish J. Math. 2016, 40, 161–165. doi:10.3906/mat-1505-4
  12. Nicholson W.K. Lifting idempotents and exchange rings. Trans. Amer. Math. Soc. 1977, 229, 269–278. doi:10.1090/S0002-9947-1977-0439876-2
  13. Sheibani M., Chen H., Bahmani R. Strongly J-clean matrices over 2-projective-free rings. arXiv:1409.3974v2 [math.RA].
  14. Vaserstein L.N. Bass’s first stable range condition. J. Pure Appl. Algebra 1984, 34 (2–3), 319–330. doi:10.1016/0022-4049(84)90044-6
  15. Xu L., Xue W. Structure of minimal non-commutative zero-insertive rings. Math. J. Okayama Univ. 1998, 40, 69–76.
  16. Ying Z., Chen J. On quasipolar rings. Algebra Colloq. 2012, 19 (4), 683–692. doi:10.1142/S1005386712000557
  17. Yu H.P. Stable range one for exchange rings. J. Pure Appl. Algebra 1995, 98, 105–109.