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For odd length $n$, the cyclic codes construction over $\Re= \Z_4[v]/ \langlev^2-v \rangle$ is provided. The hulls of cyclic codes over $\Re$ are studied.The average $2$-dimension $E(n)$ of the hulls of cyclic codes over $\Re$ isalso conferred. Among these, the various examples of generators of hulls ofcyclic codes over $\Re$ are provided, whose $\Z_4$-images are good$\Z_4$-linear codes with good parameters.

The Discussion on Hulls of Cyclic Codes over the Ring $\Re =\Z_4+v\Z_4$, $v^2=v$