Title: More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism,
Abstract: For two Banach algebras $A$ and $B$, the $T$-Lau product $A\times_T B$, was
recently introduced and studied for some bounded homomorphism $T:B\to A$ with
$\|T\|\leq 1$. Here, we give general nessesary and sufficent conditions for
$A\times_T B$ to be (approximately) cyclic amenable. In particular, we extend
some recent results on (approximate) cyclic amenability of direct product
$A\oplus B$ and $T$-Lau product $A\times_T B$ and answer a question on cyclic
amenability of $A\times_T B$.