对合幺半群与对合双幺半群的 PROP
代数拓扑
2021-02-15 v2 交换代数
范畴论
摘要
对合非交换集合的范畴编码了与（余）结合（余）乘法相容的对合结构。我们证明，对称幺半范畴中对合双幺半群的范畴等价于由对合非交换集合的范畴构造出的一个 PROP 上的代数范畴。
引用
@article{arxiv.2005.07968,
title = {PROPs for involutive monoids and involutive bimonoids},
author = {Daniel Graves},
journal= {arXiv preprint arXiv:2005.07968},
year = {2021}
}
备注
12 pages. Published in Theory and Applications of Categories. Major revision of the previous version. Theorems are now stated in a more general context