Abstract
The subject of the present paper is the investigation of a new type of solitons, called eta-*-Ricci solitons in (k,mu)-almost co-Kahler manifold (briefly, ackm), which generalizes the notion of the eta-Ricci soliton introduced by Cho and Kimura. First, the expression of the *-Ricci tensor on ackm is obtained. Additionally, we classify the eta-*-Ricci solitons in (k,mu)-ackms. Next, we investigate (k,mu)-ackms admitting gradient eta-*-Ricci solitons. Finally, we construct two examples to illustrate our results.