Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58, 681–697 (2010)
Ben-Israel, A., Greville, T.N.E.: Generalized Inverses: Theory and Applications, 2nd edn. Springer, New York (2003)
Benítez, J., Boasso, E., Jin, H.W.: On one-sided $$(B,C)$$(B,C)-inverses of arbitrary matrices. Electron. J. Linear Algebra 32, 391–422 (2017). arXiv:1701.09054v1
[+]
Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58, 681–697 (2010)
Ben-Israel, A., Greville, T.N.E.: Generalized Inverses: Theory and Applications, 2nd edn. Springer, New York (2003)
Benítez, J., Boasso, E., Jin, H.W.: On one-sided $$(B,C)$$(B,C)-inverses of arbitrary matrices. Electron. J. Linear Algebra 32, 391–422 (2017). arXiv:1701.09054v1
Boasso, E., Kantún-Montiel, G.: The $$(b,c)$$(b,c)-inverses in rings and in the Banach context. Mediterr. J. Math. 14, 112 (2017). https://doi.org/10.1007/s00009-017-0910-1
BhaskaraRao, K.R.S.: The Theory of Generalized Inverses over Commutative Rings. Taylor and Francis, London (2002)
Campbell, S.L., Meyer, C.D.: Generalized Inverses of Linear Transformations. Pitman, London (1979)
Drazin, M.P.: A class of outer generalized inverses. Linear Algebra Appl. 436, 1909–1923 (2012)
Drazin, M.P.: Left and right generalized inverses. Linear Algebra Appl. 510, 64–78 (2016)
Green, J.A.: On the structure of semigroups. Ann. Math. 54(1), 163–172 (1951)
Hartwig, R.E.: Block generalized inverses. Arch. Ration. Mech. Anal. 61, 197–251 (1976)
Han, R.Z., Chen, J.L.: Generalized inverses of matrices over rings. Chin. Q. J. Math. 7(4), 40–49 (1992)
Ke, Y.Y., Cvetković-Ilić, D.S., Chen, J.L., Višnjić J.: New results on $$(b, c)$$(b,c)-inverses. Linear Multilinear Algebra. https://doi.org/10.1080/03081087.2017.1301362
Ke, Y.Y., Višnjić, J., Chen, J.L.: One-sided $$(b, c)$$(b,c)-inverses in rings (2016). arXiv:1607.06230v1
Mary, X.: On generalized inverse and Green’s relations. Linear Algebra Appl. 434, 1836–1844 (2011)
Mary, X., Patrício, P.: Generalized inverses modulo $$\cal{H}$$H in semigroups and rings. Linear Multilinear Algebra 61(8), 1130–1135 (2013)
von Neumann, J.: On regular rings. Proc. Natl. Acad. Sci. USA 22(12), 707–713 (1936)
Rakić, D.S.: A note on Rao and Mitra’s constrained inverse and Drazin’s (b, c) inverse. Linear Algebra Appl. 523, 102–108 (2017)
Rakić, D.S., Dinčić, N.Č., Djordjević, D.S.: Group, Moore–Penrose, core and dual core inverse in rings with involution. Linear Algebra Appl. 463, 115–133 (2014)
Rao, C.R., Mitra, S.K.: Generalized inverse of a matrix and its application. In: Proceedings of the Sixth Berkeley Symposium on Mathematics, Statistics and Probability, vol. 1, pp. 601–620. University of California Press, Berkeley (1972)
Wei, Y.M.: A characterization and representation of the generalized inverse $$A^{(2)}_{T, S}$$AT,S(2) and its applications. Linear Algebra Appl. 280, 87–96 (1998)
Wang, L., Chen, J.L., Castro-González, N.: Characterizations of the $$(b, c)$$(b,c)-inverse in a ring (2015). arXiv:1507.01446v1
Xu, S.Z., Chen, J.L., Zhang, X.X.: New characterizations for core inverses in rings with involution. Front. Math. China 12(1), 231–246 (2017)
[-]