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Original Articles

The characterizations of one-sided generalized inverses

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Pages 4160-4166 | Received 25 Dec 2018, Accepted 25 Jan 2019, Published online: 14 Mar 2019

References

  • Baksalary, O. M., Trenkler, G. (2010). Core inverse of matrices. Linear Multilinear Algebra 58(6):681–697. DOI: 10.1080/03081080902778222.
  • Benítez, J., Boasso, E., Jin, H. W. (2017). On one-sided (b, c)-inverses of arbitrary matrices. Electron. J. Linear Algebra 32:391–422. DOI: 10.13001/1081-3810.3487.
  • Chen, J. L., Zou, H. L., Zhu, H. H., Patrício, P. (2017). The one-sided inverse along an element in semigroups and rings. Mediterr. J. Math. 14:208–225.
  • Drazin, M. P. (2012). A class of outer generalized inverses. Linear Algebra Appl. 436(7):1909–1923. DOI: 10.1016/j.laa.2011.09.004.
  • Drazin, M. P. (2016). Left and right generalized inverses. Linear Algebra Appl. 510:64–78. DOI: 10.1016/j.laa.2016.08.010.
  • Drazin, M. P. (1958). Pseudo-inverses in associative rings and semigroups. Am. Math. Mon. 65(7):506–514. DOI: 10.2307/2308576.
  • Mary, X. (2011). On generalized inverses and green’s relations. Linear Algebra Appl. 434(8):1836–1844. DOI: 10.1016/j.laa.2010.11.045.
  • Penrose, R., Todd, J. A. (1955). A generalized inverse for matrices. Math. Proc. Camb. Phil. Soc. 51(03):406–413. DOI: 10.1017/S0305004100030401.
  • Rakić, D. S., Dinčić, N. S., Djordjević, D. S. (2014). Group, Moore-Penrose, core and dual core inverse in rings with involution. Linear Algebra Appl. 463:115–133. DOI: 10.1016/j.laa.2014.09.003.
  • Xu, S. Z., Chen, J. L., Zhang, X. X. (2017). New characterizations for core inverses in rings with involution. Front. Math. China 12(1):231–246. DOI: 10.1007/s11464-016-0591-2.
  • Zhu, H. H., Chen, J. L., Patrício, P. (2016). Further results on the inverse along an element in semigroups and rings. Linear Multilinear Algebra 64(3):393–403. DOI: 10.1080/03081087.2015.1043716.

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