We consider an arbitrary finite-dimensional commutative associative algebra,$\mathbb{A}_n^m$, with unit over the field of complex number with $m$idempotents. Let $e_1=1,e_2,e_3$ be elements of $\mathbb{A}_n^m$ which arelinearly independent over the field of real numbers. We consider monogenic(i.e. continuous and differentiable in the sense of Gateaux) functions of thevariable $xe_1+ye_2+ze_3$, where $x,y,z$ are real. For mentioned monogenicfunction we prove curvilinear analogues of the Cauchy integral theorem, theMorera theorem and the Cauchy integral formula.
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机译：我们考虑一个任意的有限维可交换的关联代数$ \ mathbb {A} _n ^ m $，单位为带有$ m $幂等价的复数域。设$ e_1 = 1，e_2，e_3 $是$ \ mathbb {A} _n ^ m $的元素，它们在实数字段上线性独立。我们考虑变量$ xe_1 + ye_2 + ze_3 $的单基因函数（即在Gateaux的意义上是连续的和可微的），其中$ x，y，z $是实数。对于所提到的单基因函数，我们证明了柯西积分定理，莫雷拉定理和柯西积分公式的曲线类似物。
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