论文标题

显式建造无COF的预钙桥和山地

Explicit construction of cofree precoalgebras and coalgebras

论文作者

Goto, Yuki

论文摘要

在本文中,我们将通过首先构建无COF的前毛囊来明确构建无圈的山地(即那些不一定是共同点或库族)。我们的方法不会对系数环施加任何条件,例如,这意味着它不需要是一个字段。主要技术是从某些类型的无限树中产生同态,以便它们构成无围栏的前毛毛。

In this paper, we will explicitly construct cofree coalgebras, by first constructing cofree precoalgebras (namely those not necessarily coassociative or counital). Our approach does not impose any condition to the coefficient ring, which means, for example, it does not need to be a field. The main technique is to generate homomorphisms from certain type of infinite trees so that those constitute cofree precoalgebras.

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