Erds-Ko-Rado theorems in certain semilattices  

作　　者：GUO Jun MA JianMin WANG KaiShun 

机构地区：[1]College of Mathematics and Information Science,Langfang Teachers' College [2]College of Mathematics and Information Science, Hebei Normal University [3]LMCS, School of Mathematical Science, Beijing Normal University

出　　处：《Science China Mathematics》2013年第11期2393-2407,共15页中国科学：数学（英文版）

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);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

摘　　要：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.Suda (2012) extended the Erds-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.

关 键 词：ErdSs-Ko-Rado theorem SEMILATTICE regularized semilattice strongly regularized semilattice partition regularized semilattice partition strongly regularized semilattice 

分 类 号：O152[理学—数学]