Recently, geometrics objects such as ρ-forms, metrics, Levi– Civita connection, differential calculus were introduced on ρ-commutative algebras. In this paper, we intend to extend another geometric objects such as almost complex structure, almost para-complex structure, Her- mitian metric, para-Hermitian metric, K ̈ ahler and para-K ̈ ahler forms, on it and introduce new concepts which we will call K ̈ ahler ρ-commutative algebras and para-K ̈ ahler ρ-commutative algebras.
