Smarandache自守环与交叉逆Plperty环的全纯研究
An holomorphic study of Smarandache automorphic and cross inverse ploperty loops
摘要：
通过研究自同构逆性质拟群与环[AIPQ与（AIPL）]和交叉逆性质拟群与环[CIPQ与（CIPL）]的全纯结构，证明了环的全纯是Smarandache，AIPL、CIPL、K-环、Bruck-环或Kikkawa-环当且仅当其Smarandache自同构群是平凡的且环本身是Smarandache; AIPL、CIPL、K-loop、Bruck loop或Kikkawa loop。
英文摘要：
By studying the holomorphic structure of automorphic inverse property quasigroups and loops[AIPQ and (AIPL)] and cross inverse property quasigroups and loops[CIPQ and (CIPL)], it is established that the holomorph of a loop is a Smarandache; AIPL, CIPL, K-loop, Bruck-loop or Kikkawa-loop if and only if its Smarandache automorphism group is trivial and the loop is itself is a Smarandache; AIPL, CIPL, K-loop, Bruck-loop or Kikkawa-loop.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
