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REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES IN IDEAL LATTICES OF VARIOUS ALGEBRAIC STRUCTURES
 

Summary: 



REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES IN

IDEAL LATTICES OF VARIOUS ALGEBRAIC STRUCTURES



K.R. GOODEARL AND F. WEHRUNG


Abstract.We study the relationships among existing results about repre-
sentations of distributive semilattices by ideals in dimension groups, v*
*on Neu-
mann regular rings, C*-algebras, and complemented modular lattices. We
prove additional representation results which exhibit further connection*
*s with
the scattered literature on these different topics.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics