Abstract:
Complexes derived from some 1Phenyl3meth
yl4nitroso5pyrazolone (L1), 1,3diphenyl4
nitroso5pyrazolone (L2) and 1phenyl3anilino
4nitroso5pyrazolone (L3) with Mn2+, Co2+, Ni2+, Cu2+ and Zn2+ metal ions have been prepared. Structural investigation of the ligands and their complexes has been made based on elemental analysis, infrared (FTIR), ultraviolet and visible spectra (UVVis.), proton nuclear magnetic reso
nance (1H NMR), magnetic susceptibility (?eff.) and thermal analysis (TG and DTG). The effect of solvents has been carried out in organic solvents of varying polarity. The observed transition energy and oscillator strengths were also calculated. The data obtained show that all of the prepared complexes contain water molecules in their coordination sphere. The investigated ligands acts as neutral bidentate ligands bonded to the metal ions through the two oxygen atoms of the carbonyl and nitroso groups. The isolated complexes behave as nonelectro
lyte in DMF solution. The Mn2+, Co2+, Ni2+ and Cu2+ complexes show high spin configurations as the ground state. The high spin values of ma
gnetic susceptibility may be due to the ligands being weak ligands. The Mn2+, Co2+, Ni2+, Cu2+ and Zn2+ complexes exhibit an octahedral or distorted octahedral coordination with the investigated ligands.

Abstract:
Complexes derived from some 1Phenyl3meth yl4nitroso5pyrazolone (L1), 1,3diphenyl4 nitroso5pyrazolone (L2) and 1phenyl3anilino 4nitroso5pyrazolone (L3) with Mn2+, Co2+, Ni2+, Cu2+ and Zn2+ metal ions have been prepared. Structural investigation of the ligands and their complexes has been made based on elemental analysis, infrared (FTIR), ultraviolet and visible spectra (UVVis.), proton nuclear magnetic reso nance (1H NMR), magnetic susceptibility (?eff.) and thermal analysis (TG and DTG). The effect of solvents has been carried out in organic solvents of varying polarity. The observed transition energy and oscillator strengths were also calculated. The data obtained show that all of the prepared complexes contain water molecules in their coordination sphere. The investigated ligands acts as neutral bidentate ligands bonded to the metal ions through the two oxygen atoms of the carbonyl and nitroso groups. The isolated complexes behave as nonelectro lyte in DMF solution. The Mn2+, Co2+, Ni2+ and Cu2+ complexes show high spin configurations as the ground state. The high spin values of ma gnetic susceptibility may be due to the ligands being weak ligands. The Mn2+, Co2+, Ni2+, Cu2+ and Zn2+ complexes exhibit an octahedral or distorted octahedral coordination with the investigated ligands.

Abstract:
Two-dimensional real hyporeductive triple algebras (h.t.a.) are investigated. A classification of such algebras is presented. As a consequence, a classification of two-dimensional real Lie triple algebras (i.e., generalized Lie triple systems) and two-dimensional real Bol algebras is given .

Abstract:
Some basic properties of Hom-Leibniz algebras are found. These properties are the Hom-analogue of corresponding well-known properties of Leibniz algebras. Considering the Hom-Akivis algebra associated to a given Hom-Leibniz algebra, it is observed that the Hom-Akivis identity leads to an additional property of Hom-Leibniz algebras, which in turn gives a necessary and sufficient condition for Hom-Lie admissibility of Hom-Leibniz algebras. A necessary and sufficient condition for Hom-power associativity of Hom-Leibniz algebras is also found.

Abstract:
Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that non-Hom-associative algebras can be obtained from nonassociative algebras by twisting along algebra automorphisms while Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.

Abstract:
A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and susequently ternary Hom-Nambu algebras) and Hom-Lie algebras in the same way as Lie-Yamaguti algebras generalize Lie triple systems and Lie algebras. It is shown that the category of Hom-Lie-Yamaguti algebras is closed under twisting by self-morphisms. Constructions of Hom-Lie-Yamaguti algebras from classical Lie-Yamaguti algebras and Malcev algebras are given. It is observed that, when the ternary operation of a Hom-Lie-Yamaguti algebra expresses through its binary one in a specific way, then such a Hom-Lie-Yamaguti algebra is a Hom-Malcev algebra.