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

Jonathan David Farley; Dominic van der Zypen

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arXiv · 2112.15433

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

Jonathan David Farley·Dominic van der Zypen

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Abstract

Gr\"atzer 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 ${\bf 2}^n\oplus{\bf 1}$ can be characterized by the property of not having a $*$-homomorphism onto ${\bf 2}^i\oplus{\bf 1}$ 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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Jonathan David Farley, Dominic van der Zypen. 2021-12-23. On a Question of Gr\"atzer and Lakser from the 1971 {\sl Transactions of the American Mathematical Society}. https://arxiv.org/abs/2112.15433

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