In the title mol-ecule, C(10)H(8)N(2)O(2), the imidazole and benzene rings form a dihedral angle of 14.5 (1)°. In the crystal, inter-molecular O-H⋯N hydrogen bonds link the mol-ecules into chains extending in [01], which are further linked into sheets parallel to (102) through weak C-H⋯O inter-actions.

In the mol-ecule of the title compound, C15H14O2, the dihedral angle between the benzene and phenyl rings is 61.27 (8)°. In the crystal, O-H⋯O and weak C-H⋯O hydrogen bonds link the mol-ecules into chains extending along the c-axis direction.

In the title compound, C14H16N6O2, the dihedral angles formed by the mean plane of the acetohydrazide group [maximum deviation 0.0629 (12) Å] with the pyrazole and pyridine rings are 81.62 (6) and 38.38 (4)° respectively. In the crystal, mol-ecules are connected by N-H⋯O and O-H⋯N hydrogen bonds into supra-molecular chains extending parallel to the c-axis direction.

In the title compound, C19H15N3O, the benzimidazole ring system makes dihedral angles of 44.36 (7) and 75.67 (7)° with the pyridine and benzene rings, respectively. In the crystal, phenolic O-H⋯N hydrogen bonds to benzimidazole N-atom acceptors give rise to a chain extending along [011].

We present some equivalent conditions of the reverse order law for the Moore–Penrose inverse in rings with involution, extending some well-known results to more general settings. Then we apply this result to obtain a set of equivalent conditions to the reverse order rule for the weighted Moore-Penrose inverse in C∗-algebras.

The title compound, C20H21N3, is non-planar with a dihedral angle between the planes of the quinoline and phenyl-enedi-amine rings of 9.40 (4)°. In the crystal, mol-ecules are connected by C-H⋯π inter-actions, generating a chain extending along the a-axis direction. Weak C-H⋯π inter-actions also occur.

The asymmetric unit of the title compound, C(29)H(22)N(6)S(2), contains one half-mol-ecule situated on a twofold rotational axis. The two triazole rings form a dihedral angle of 27.6 (2)°. In the crystal, weak inter-molecular C-H⋯N hydrogen bonds link the mol-ecules into ribbons extending along [001].

In the crystal struture of the title compound, C(16)H(14)O(6)·C(3)H(7)NO, the two crystallographically independent benzene rings are coplanar [dihedral angle = 1.00 (2)°]. The crystal structure is stabilized by O-H⋯O hydrogen bonds between the diacid and the solvate dimethylformamide mol-ecule, resulting in the formation of a zigzag chain structure extending parallel to [001].

In the title compound, C(13)H(9)ClFNO, the dihedral angle between the two aromatic rings is 13.6 (2)°. In the crystal, the mol-ecules are linked by inter-molecular N-H⋯O hydrogen bonds into chains extending along the c-axis direction.

Laparoscopic mesh hernia repair is an effective form of management of inguinal hernias. Polypropylene mesh is generally placed at the internal rings extending across the midline resulting in an intense fibrotic reaction that can make subsequent radical retropubic prostatectomy and lymphadenectomy difficult. We report the first case of laparoscopic radical prostatectomy following laparoscopic bi...