广义Bol环的全形 II
群论
2015-11-18 v1
摘要
广义Bol环(GBL)的全形概念被重新刻画。证明了右逆性质环(RIPL)的全形是GBL当且仅当该环是GBL且该环的某些双射是右(中)正则的。证明了RIPL的全形是GBL当且仅当该环是GBL且该环的某些元素是右(中)核的。推导出了RIPL的全形是Bol环的充要条件。对于一个全形为GBL的RIPL，建立了若干代数性质和交换图。
引用
@article{arxiv.1510.05990,
title = {Holomorph of generalized Bol loops II},
author = {Tèmít\dóp\dé Gbóláhàn Jaíyéolá and B. A. Popoola},
journal= {arXiv preprint arXiv:1510.05990},
year = {2015}
}
备注
18 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1501.04620