This paper generalizes former works of Derksen, Weyman and Zelevinsky about quivers with potentials. We consider semisimple finite-dimensional algebras E over a field F, such that $E{\otimes }_F{E}^{op}$ is semisimple. We assume that E contains a certain type of F-basis which is a generalization of a multiplicative basis. We study potentials belonging to the algebra of formal power series, with coefficients in the tensor algebra over E, of any finite-dimensional E-E-bimodule on which F acts centrally. In this case, we introduce a cyclic derivative and to each potential we associate a Jacobian ideal. Finally, we develop a mutation theory of potentials, which in the case that the bimodule is Z-free, it behaves as the quiver case; but allows us to obtain realizations of a certain class of skew-symmetrizable integer matrices.

本文概括了Derksen，Weyman和Zelevinsky以前关于潜力的颤动的著作。我们考虑场F上的半简单有限维代数E，使得$Ë{\otimes }_F{Ë}^{Øp}$是半简单的。我们假设E包含某种F基，它是乘法基础的推广。我们研究属于形式幂级数代数的势，其中张量代数的系数超过E，其中F对其集中作用的任何有限维E - E-双模。在这种情况下，我们引入了一个循环导数，并将每个雅可比理想联系起来。最后，我们发展了一个电位突变理论，该理论在双模无Z的情况下表现为颤动情况；但是允许我们获得某些类别的可偏对称整数矩阵的实现。