将偏序集实现为利维特路径代数的素谱
环与代数
2017-02-21 v2
摘要
我们以自然方式将任何偏序集 关联到有向图 （其中 的顶点对应于 的元素， 的边对应于 的相关元素对），然后描述所得利维特路径代数 的素谱。此构造允许我们将广泛类的偏序集实现为环的素谱。更具体地说，任何每个向下定向子集都有最大下界的偏序集，且这些最大下界满足某些相容条件，均可如此实现。特别地，任何满足降链条件的偏序集属于此类。
引用
@article{arxiv.1512.06771,
title = {Realizing posets as prime spectra of Leavitt path algebras},
author = {Gene Abrams and Gonzalo Aranda Pino and Zachary Mesyan and Christopher Smith},
journal= {arXiv preprint arXiv:1512.06771},
year = {2017}
}
备注
27 pages. In the second version an appendix with new set-theoretic results has been added, more references have been included, several minor errors and misprints have been corrected, and the title has been changed