On a Question of Grätzer and Lakser from the 1971 {\sl Transactions of the American Mathematical Society}

Abstract

Grätzer and Lakser asked in the 1971 {\sl Transactions of the American Mathematical Society} if the pseudocomplemented distributive lattices in the amalgamation class of the subvariety generated by $2^n\oplus 1$ can be characterized by the property of not having a $\ast$-homomorphism onto $2^i\oplus 1$ for $1<i<n$. In this article, this question is answered. If you want to know the answer, you will have to read it (or skip to the last section).

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