The Representation of Lattices by Modules

Abstract

That is, the class JSf(A) of lattices representable by A-modules is the "quasivariety" of lattices satisfying J(A), for commutative A. OUTLINE OF PROOF. For A commutative, let i : L > r ( M ; A ) be an embedding for some M. Without loss of generality, assume that L has a smallest element co, and i{œ) = 0. Motivated by the "abelian" lattice Tf{G ) of [2,4.2… (More)

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