The study deals with the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical meaning of the reference in zero of these invariants .   http://dx.doi.org/10.25130/tjps.25.2020.037

“Let R be a commutative ring with identity and β be left unitary R − module”. We introduced in this paper the concept of pseudo maximal submodule which was a new generalization of the concept of maximal submodule, several basic properties, of this concept are given. Furthermore, characterization of this concept in the class of multiplication modules are introduced. “Moreover the pseudo Jacobson radical of modules and submodules are investigated”.

The constant of permanence conharmonic type kahler and nearly kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type (K). and also proved that M nearly kahler manifold of pointwise constant holomorphic sectional conharmonic (PHKm(X)) – curvature) curvature tensor if the components of holomorphic  sectional (HS- curvature) curvature  tensor  in  the  adjoint G-structure space that satisfies condition .

The study deals with the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical meaning of the reference in zero of these invariants .