{"title":"网格属性概览：模块化、Arguesian、线性和分布式","authors":"Dale R. Worley","doi":"arxiv-2403.19677","DOIUrl":null,"url":null,"abstract":"This is a survey of characterizations and relationships between some\nproperties of lattices, particularly the modular, Arguesian, linear, and\ndistributive properties, but also some other related properties. The survey\nemphasizes finite and finitary lattices and deemphasizes complemented lattices.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A survey of lattice properties: modular, Arguesian, linear, and distributive\",\"authors\":\"Dale R. Worley\",\"doi\":\"arxiv-2403.19677\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is a survey of characterizations and relationships between some\\nproperties of lattices, particularly the modular, Arguesian, linear, and\\ndistributive properties, but also some other related properties. The survey\\nemphasizes finite and finitary lattices and deemphasizes complemented lattices.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2403.19677\",\"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 - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2403.19677","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A survey of lattice properties: modular, Arguesian, linear, and distributive
This is a survey of characterizations and relationships between some
properties of lattices, particularly the modular, Arguesian, linear, and
distributive properties, but also some other related properties. The survey
emphasizes finite and finitary lattices and deemphasizes complemented lattices.
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