{"title":"论词典积的最大阶类型","authors":"Mirna Džamonja, Isa Vialard","doi":"arxiv-2409.09699","DOIUrl":null,"url":null,"abstract":"We give a self-contained proof of Isa Vialard's formula for $o(P\\cdot Q)$\nwhere $P$ and $Q$ are wpos. The proof introduces the notion of a cut of partial\norder, which might be of independent interest.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On maximal order type of the lexicographic product\",\"authors\":\"Mirna Džamonja, Isa Vialard\",\"doi\":\"arxiv-2409.09699\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a self-contained proof of Isa Vialard's formula for $o(P\\\\cdot Q)$\\nwhere $P$ and $Q$ are wpos. The proof introduces the notion of a cut of partial\\norder, which might be of independent interest.\",\"PeriodicalId\":501306,\"journal\":{\"name\":\"arXiv - MATH - Logic\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.09699\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On maximal order type of the lexicographic product
We give a self-contained proof of Isa Vialard's formula for $o(P\cdot Q)$
where $P$ and $Q$ are wpos. The proof introduces the notion of a cut of partial
order, which might be of independent interest.
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