@MISC{PARTIT1.MIZ,
  AUTHOR = {Kobayashi, Shunichi and Jia, Kui},
  TITLE = {A Theory of Partitions. {P}art {I}},
  SECTION1 = {Preliminaries},
  SECTION2 = {Join and Meet Operation Between Partitions},
  SECTION3 = {Partitions and Equivalence Relations},
  DAY = {05},
  MONTH = {October},
  YEAR = {1998},
  ADDRESS1 = {Shinshu University\\Nagano},
  ADDRESS2 = {Shinshu University\\Nagano},
  SUMMARY = {In this paper, we define join and meet operations between
 partitions. The properties of these operations are proved.
 Then we introduce the correspondence
 between partitions and equivalence relations which preserve
 join and meet operations.
 The properties of these relationships are proved.}}

