论文标题
中央必需的半群代数
Centrally Essential Semigroup Algebras
论文作者
论文摘要
对于取消的半群和A场F，只有当且仅当分数$ g_s $ g_s $ of semogroup $ s $的$ g_s $时，并且存在$ g_s $ g_s $ g_s $的$ g_s $是必不可少的。如果并且仅当它具有经典的分数右环，这是一个是集中必不可少的环时，取消半群的半群代数至关重要。在零特征的领域上存在非共同基本的半群代数（这与已知的事实形成对比，即零特性领域的集中基本基团代数是可交换的）。
For a cancellative semigroup S and a field F, it is proved that the semigroup algebra FS is centrally essential if and only if the group of fractions $G_S$ of the semigroup $S$ exists and the group algebra $FG_S$ of $G_S$ is centrally essential. The semigroup algebra of a cancellative semigroup is centrally essential if and only if it has the classical right ring of fractions which is a centrally essential ring. There exist non-commutative centrally essential semigroup algebras over fields of zero characteristic (this contrasts with the known fact that centrally essential group algebras over fields of zero characteristic are commutative).
