Suda （2012） extended the ErdSs-Ko-Rado theorem to designs in strongly regularized semilattices. In this paper we generalize Suda＇s results in regularized semilattices and partition regularized semilattices, give ma...Suda （2012） extended the ErdSs-Ko-Rado theorem to designs in strongly regularized semilattices. In this paper we generalize Suda＇s results in regularized semilattices and partition regularized semilattices, give many examples for these semilattices and obtain their intersection theorems.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11271047 and 10971052)Natural Science Foundation of Hebei Province(Grant Nos.A2012408003 and A2012205079)+3 种基金the Talent Project Fund of Hebei Province(Grant No.2011-11)the Doctoral Fund from Hebei Normal University(Grant No.L2011B02)Scientific Research Fund of the Department of Education of Hebei Education Department(Grant No.ZH2012082)the Fundamental Research Funds for the Central University of China
文摘Suda （2012） extended the ErdSs-Ko-Rado theorem to designs in strongly regularized semilattices. In this paper we generalize Suda＇s results in regularized semilattices and partition regularized semilattices, give many examples for these semilattices and obtain their intersection theorems.
