论文标题

用于涉及的单粒和涉及双杆的道具

PROPs for involutive monoids and involutive bimonoids

论文作者

Graves, Daniel

论文摘要

涉及的非交通集的类别编码与(CO)关联(CO)乘法兼容的纠纷的结构。我们证明,在对称单体类别中的涉及双肌体类别等于代数类别,而不是由参与的非交通集合构建的类别。

The category of involutive non-commutative sets encodes the structure of an involution compatible with a (co)associative (co)multiplication. We prove that the category of involutive bimonoids in a symmetric monoidal category is equivalent to the category of algebras over a PROP constructed from the category of involutive non-commutative sets.

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