%0 Journal Article
%T Cancel culture
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Farley, Jonathan David
%D 2023
%\ 08/01/2023
%V 19
%N 1
%P 1-27
%! Cancel culture
%K (Partially) ordered set
%K exponentiation
%R 10.48308/cgasa.19.1.1
%X 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.
%U https://cgasa.sbu.ac.ir/article_103580_7e019629f987fc8498db5f7b71403816.pdf