References
- Berberian SK. Baer ∗-rings. New York (NY): Springer-Verlag; 1972.
- Šemrl P. Automorphisms of B(H) with respect to minus partial order. J. Math. Anal. Appl. 2010;369:205–213.
- Djordjević DS, Rakić DS, Marovt J. Minus partial order in Rickart rings, preprint. Available from: http://www.imfm.si/preprinti/index.php?langID=1.
- Drazin MP. Natural structures on semigroups with involution. Bull. Am. Math. Soc. 1978;84:139–141.
- Dolinar G, Marovt J. Star partial order on B(H). Linear Algebra Appl. 2011;434:319–326.
- Ara P, Menal P. On regular rings with involution. Arch. Math. 1984;42:126–130.
- Hartwig RE, Styan GP. On some characterizations of the ‘star’ partial ordering for matrices and rank subtractivity. Linear Algebra Appl. 1986;82:145–161.
- Baksalary JK, Pukelsheim F, Styan GP. Some properties of matrix partial orderings. Linear Algebra Appl. 1989;119:57–85.
- Baksalary JK, Mitra SK. Left-star and right-star partial orderings. Linear Algebra Appl. 1991;149:73–89.
- Dolinar G, Guterman A, Marovt J. Monotone transformations on B(H) with respect to the left-star and the right-star partial order. Math. Inequal. Appl. accepted for publication.
- Baksalary JK, Baksalary OM, Liu X. Further properties of the star, left-star, right-star, and minus partial orderings. Linear Algebra Appl. 2003;375:83–94.
- Urquhart NS. Computation of generalized inverse matrices which satisfy specified conditions. SIAM Rev. 1968;10:216–218.
- Liu X, Benítez J, Zhong J. Some results on partial ordering and reverse order law of elements of C∗)-algebras. J. Math. Anal. Appl. 2010;370:295–301.
- Hartwig RE. How to partialy order regular elements. Math. Japon. 1980;25:1–13.
- Patrício P. The Moore–Penrose inverse of a companion matrix. Linear Algebra Appl. 2012;437:870–877.
- Patrício P, Puystjens R. Drazin–Moore–Penrose invertibility in rings. Linear Algebra Appl. 2004;389:159–173.
- Mitsch H. A natural partial order for semigroups. Proc. Am. Math. Soc. 1986;97:384–388.
- Baksalary JK, Hauke J. A further algebraic version of Cochran’s theorem and matrix partial orderings. Linear Algebra Appl. 1990;127:157–169.
- Lebtahi L, Patricio P, Thome N. The diamond partial order in rings. Linear Multilinear Algebra. accepted for publication. doi:10.1080/03081087.2013.779272.
- Rakić DS. Decomposition of a ring induced by minus partial order. Electron. J. Linear Algebra. 2012;23:1040–1059.