The fundamental notion of separability for commutative algebras was interpreted in categorical setting where also the stronger notion of heavily separability was introduced. These notions were extended to (co)algebras in monoidal categories, in particular to cowreaths. In this paper, we consider the cowreath \( \left( A\otimes H_{4}^{op}, H_{4}, \psi \right) \), where \(H_{4}\) is the Sweedler 4-dimensional Hopf algebra over a field k and \(A=Cl(\alpha , \beta , \gamma )\) is the Clifford algebra generated by two elements G, X with relations \(G^{2}=\alpha \), \(X^{2}=\beta \) and \(XG+GX=\gamma \), \( (\alpha , \beta , \gamma \in k \)) which becomes naturally an \(H_{4}\)-comodule algebra. We show that, when \(\textrm{char}\left( k \right) \ne 2, \) this cowreath is always separable and h-separable as well.

交换代数的可分离性的基本概念在分类环境中进行了解释，其中还引入了更强的可分离性概念。这些概念被扩展到幺半群类别中的（共）代数，特别是 cowreaths。在本文中，我们考虑牛花\( \left( A\otimes H_{4}^{op}, H_{4}, \psi \right) \)，其中\(H_{4}\)是 Sweedler域k和\(A=Cl(\alpha , \beta , \gamma )\)上的 4 维 Hopf 代数是由两个元素G和 X生成的具有关系\(G^{2}=\alpha \) , \(X^{2}=\beta \)和\(XG+GX=\gamma \) ,\( (\alpha , \beta , \gamma \in k \) ) 自然成为\(H_{4}\) -余模代数。我们表明，当\(\textrm{char}\left( k \right) \ne 2, \)这个牛花总是可分离的，也是 h-可分离的。