论文标题
F_2上的二维内部共同代数的分类
A Classification of Two-dimensional Endo-commutative Algebras over F_2
论文作者
论文摘要
我们介绍了一个新的代数类，称为内托代数，其中正方形映射保留了乘法，并在两个元素的字段f_2上提供了尺寸2的内部共同代数的完整分类。我们列出了代数的所有乘法表，直到同构。这阐明了代数的通勤性和内部交流性之间的差异。
We introduce a new class of algebras called endo-commutative algebras in which the square mapping preserves multiplication, and provide a complete classification of endo-commutative algebras of dimension 2 over the field F_2 of two elements. We list all multiplication tables of the algebras up to isomorphism. This clarifies the difference between commutativity and endo-commutativity of algebras.
