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Document Type : Research Paper

Author

Department of Mathematics, Morgan State University, Baltimore, MD 21251, United States of America

Abstract

Let A, B, C, and D be posets. Assume C and D are finite with a greatest element. Also assume that AC ≅B D. Then there exist posets E, X, Y , and Z such that A ≅E X, B ≅E Y , C≅Y ×Z, and D≅X×Z. If C≅D, then A≅B. This generalizes a theorem of Jónsson and McKenzie, who proved it when A and B were meet-semilattices.

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References

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Categories and General Algebraic Structures with Applications
Volume 19, Issue 1
August 2023
Pages 1-27

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