论文标题

仿生的颤音

The quiver of an affine monoid

论文作者

Shahzamanian, M. H., Steinberg, Benjamin

论文摘要

如果$ r $是有限的交换戒指,那么$ r $的仿型是所有仿射映射$ x \ mapsto ax+b $ y $ r $的单体。另外,它是$ r $的乘法单体的半领产品,以及$ r $的添加剂组。在本文中,我们计算了任何有限的交换环的仿射仿形的仿生代数的Gabriel颤动。

If $R$ is a finite commutative ring, then the affine monoid of $R$ is the monoid of all affine mappings $x\mapsto ax+b$ on $R$. Alternatively, it is the semidirect product of the multiplicative monoid of $R$ with the additive group of $R$. In this paper we compute the Gabriel quiver of the complex algebra of the affine monoid of any finite commutative ring.

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