关于在仿射映射作用下封闭的数值半群
数论
2018-06-12 v4 动力系统
群论
摘要
本文研究包含给定正整数且在仿射映射作用下封闭的数值半群。对于此类半群，我们找到了极小生成元集、其嵌入维数、其亏格及其弗罗贝尼乌斯数。
引用
@article{arxiv.1505.06580,
title = {On numerical semigroups closed with respect to the action of affine maps},
author = {Simone Ugolini},
journal= {arXiv preprint arXiv:1505.06580},
year = {2018}
}
备注
15 pages. The exposition has been improved. The theorem on the Frobenius number of the semigroups has been improved. A membership criterion to the numerical semigroups has been added