Cancel culture
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-...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2023-08-01
|
| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_103580_7e019629f987fc8498db5f7b71403816.pdf |
| _version_ | 1827791907775840256 |
|---|---|
| author | Jonathan Farley |
| author_facet | Jonathan Farley |
| author_sort | Jonathan Farley |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T17:53:45Z |
| format | Article |
| id | doaj.art-07c2d46ef4044bdca04ffd125a2ba0ff |
| institution | Directory Open Access Journal |
| issn | 2345-5853 2345-5861 |
| language | English |
| last_indexed | 2024-03-11T17:53:45Z |
| publishDate | 2023-08-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj.art-07c2d46ef4044bdca04ffd125a2ba0ff2023-10-17T21:07:30ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612023-08-0119112710.48308/cgasa.19.1.1103580Cancel cultureJonathan Farley0Department of Mathematics, Morgan State University, Baltimore, MD 21251, United States of AmericaLet 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.https://cgasa.sbu.ac.ir/article_103580_7e019629f987fc8498db5f7b71403816.pdf(partially) ordered setexponentiation |
| spellingShingle | Jonathan Farley Cancel culture Categories and General Algebraic Structures with Applications (partially) ordered set exponentiation |
| title | Cancel culture |
| title_full | Cancel culture |
| title_fullStr | Cancel culture |
| title_full_unstemmed | Cancel culture |
| title_short | Cancel culture |
| title_sort | cancel culture |
| topic | (partially) ordered set exponentiation |
| url | https://cgasa.sbu.ac.ir/article_103580_7e019629f987fc8498db5f7b71403816.pdf |
| work_keys_str_mv | AT jonathanfarley cancelculture |