论文标题
准代理，一个特殊的准线空间样本
Quasi-algebra, a special sample of quasilinear spaces
论文作者
论文摘要
与线性空间相似，许多准线空间的示例具有元素乘法的概念。为了表征这些示例，在本文中，我们推广了准线空间的概念，并在构造代数方面所做的帮助，引入了准代理和规范的准代理。在检查了这些新空间的某些属性之后，我们介绍了准合法性的概念，该概念是准连算子的实例。此外，由于未经频谱的研究就无法完成对具有代数结构的空间的研究，因此我们根据我们期望的是，我们定义了准磁谱的概念。
Similar to linear spaces, many examples of quasilinear spaces have a notion of multiplication of the elements. To characterising these examples, in the present paper we generalize the notion of quasilinear spaces and introduce quasi-algebras and normed quasi-algebras with the help of what was done in constructing algebras. After examining some properties of these new spaces, we introduce the concept of quasi-homomorphisms that is an instance of a quasilinear operator. Moreover since the study of spaces with algebraic structures cannot be completed without the study of spectrums, we define the concept of quasi-spectrum on quasi-algebras as we expect it to be.
