固有非有限基半群的一元增强
群论
2014-11-25 v2
摘要
我们给出了一个简单条件，在此条件下，半群约化是固有非有限基的有限对合半群作为一元半群也是固有非有限基的。作为应用，我们得到了固有非有限基对合半群的已知实例以及新实例。我们还证明，对于有限正则半群，我们的条件不仅是固有非有限基性质得以保持的充分条件，也是必要条件。这导出了对正则固有非有限基对合半群的算法描述。
引用
@article{arxiv.1301.3275,
title = {Unary enhancements of inherently nonfinitely based semigroups},
author = {Karl Auinger and Igor Dolinka and Tatiana V. Pervukhina and Mikhail V. Volkov},
journal= {arXiv preprint arXiv:1301.3275},
year = {2014}
}
备注
11 pages, 1 figure. Section 4 has been improved and expanded according to suggestions of an anonymous referee of the journal version. A few minor improvements have been done in Section 3