supported by National Natural Science Foundation of China(Grant Nos.11271047 and 10971052);Natural Science Foundation of Hebei Province(Grant Nos.A2012408003 and A2012205079);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
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...