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1.The locally finite algebra is a type of mathematical structure that has been studied extensively in the field of number theory.
局部有限代数是一种在数论领域被广泛研究的数学结构。
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2. In this example, we will explore the properties of a locally finite algebra and its applications in various fields.
在这个例子中，我们将探索局部有限代数的性质及其在各个领域的应用。
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3. The locality condition plays an important role in the study of locally finite algebras, as it ensures thatthe operations are defined only within a certain region of the space.
局部条件在研究局部有限代数中起着重要作用，因为它确保操作仅在空间的某个区域内定义。