This is an expository paper on tensor products where the standard approaches for constructing concrete instances of algebraic tensor products of linear spaces, via quotient spaces or via linear maps of bilinear maps, are reviewed by reducing them to different but isomorphic interpretations of an abstract notion, viz. the universal property, which is based on a pair of axioms.

中文翻译：

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重述代数张量产品：公理化方法

这是一份关于张量积的说明性论文，其中通过商空间或双线性图的线性图来构造线性空间的代数张量积的具体实例的标准方法，方法是将它们简化为抽象概念的不同但同构的解释，即 通用属性，它基于一对公理。