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Abstract. In this paper an equivalent criterion for distributive elements in lattices is established. Standard elements and distributive elements are characterized in $SSC$ lattices. Moreover, central elements in atomistic $SSC^*$ lattices are characterized in terms of dually distributive elements and also in terms of $p$-elements.
AMS Subject Classification
(1991): 06D22, 06D50, 06D99
Keyword(s):
Standard element,
distributive element,
neutral element,
p,
-element
Received November 20, 2001, and in revised form March 18, 2003. (Registered under 2912/2009.)
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