In this note, we introduce a criterion to detect vanishing of essential algebras of a Green biset functor by means of morphisms. We introduce the inflation morphism and restriction morphism to prove that the essential supports of a Green biset functor and its shifted functors are the same. We use the kernel of the restriction to give a characterization of the seeds of the shifted functors.

中文翻译：

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通过态射对 Green bisset 函子的基本支持

在这篇笔记中，我们引入了一个标准来通过态射检测格林双集函子的基本代数的消失。我们引入膨胀态射和限制态射来证明格林双集函子和它的移位函子的本质支持是相同的。我们使用限制的核来描述移位函子的种子。