In the title mol-ecule, C(11)H(10)ClN(5)OS, an intra-molecular N-H⋯O hydrogen forms an S(6) ring motif. The dihedral angle between the pyrazole ring and the benzene ring is 3.77 (8)°. In the crystal, mol-ecules are linked by N-H⋯S and N-H⋯O hydrogen bonds into layers parallel to the bc plane.

in this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. weobserve that over a commutative ring $r$, $bbb{ag}_*(_rm)$ isconnected and diam$bbb{ag}_*(_rm)leq 3$. moreover, if $bbb{ag}_*(_rm)$ contains a cycle, then $mbox{gr}bbb{ag}_*(_rm)leq 4$. also for an $r$-module $m$ with$bbb{a}_*(m)neq s(m)setminus {0}$, $...

In the title compound, C28H23N3O2, the pyrazole ring makes a dihedral angle of 16.90 (6)° with the phenyl ring to which it is attached. Both di-hydro-pyran rings exhibit half-chair conformations. Intramolecular C-H⋯O interactions generate S(6) and S(8) ring motifs. In the crystal, weak C-H⋯O and C-H⋯π interactions occur.

In the title compound, C(21)H(21)N(3)O(2), an intra-molecular N-H⋯O inter-action generates an S(6) ring, which stablizes the enamine-keto tautomer. The S(6) ring makes dihedral angles of 33.07 (7), 56.50 (8) and 38.59 (8)°, respectively, with the benzoyl-acetone benzene ring and the anti-pyrine pyrazole and benzene rings.

The title compound, C(16)H(10)N(2)S, is almost planar (r.m.s. deviation for all non-H atoms = 0.080 Å). The dihedral angle between the three fused-ring system and the phenyl ring is 9.26 (3)°. The S atom and the opposite C atom of the thio-phene ring are mutually disordered with an occupancy ratio of 0.7706 (19):0.2294 (19).