J4 ›› 2010, Vol. 45 ›› Issue (11): 63-66.

• Articles • Previous Articles     Next Articles

Principal congruence on the standard and distributive elements of a lattice

YE Lin1, CAO Fa-sheng2   

  1. 1. Science School of Qingdao Technological University, Qingdao 266520, Shandong, China;
    2. Mathematics Department of Bijie University, Bijie 551700, Guizhou, China
  • Received:2010-04-19 Online:2010-11-16 Published:2010-11-24

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Abstract:

 A necessary condition for principal congruence on the standard elements of lattice L is given by analyzing the definition of the standard element and constructing a principal congruence formula. A decision condition for principal congruence on the distributive elements of lattice L is also characterized by constructing a principal congruence formula.

Key words: principal congruence; standard element; distributive element

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