Karin Cvetko-Vah, M. Kinyon, Jonathan Leech, Tomavz Pisanski
{"title":"常规antilattices","authors":"Karin Cvetko-Vah, M. Kinyon, Jonathan Leech, Tomavz Pisanski","doi":"10.26493/2590-9770.1333.152","DOIUrl":null,"url":null,"abstract":"Antilattices $(S;\\lor, \\land)$ for which the Green's equivalences $\\mathcal L_{(\\lor)}$, $\\mathcal R_{(\\lor)}$, $\\mathcal L_{(\\land)}$ and $\\mathcal R_{(\\land)}$ are all congruences of the entire antilattice are studied and enumerated.","PeriodicalId":236892,"journal":{"name":"Art Discret. Appl. Math.","volume":"176 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Regular antilattices\",\"authors\":\"Karin Cvetko-Vah, M. Kinyon, Jonathan Leech, Tomavz Pisanski\",\"doi\":\"10.26493/2590-9770.1333.152\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Antilattices $(S;\\\\lor, \\\\land)$ for which the Green's equivalences $\\\\mathcal L_{(\\\\lor)}$, $\\\\mathcal R_{(\\\\lor)}$, $\\\\mathcal L_{(\\\\land)}$ and $\\\\mathcal R_{(\\\\land)}$ are all congruences of the entire antilattice are studied and enumerated.\",\"PeriodicalId\":236892,\"journal\":{\"name\":\"Art Discret. Appl. Math.\",\"volume\":\"176 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Art Discret. Appl. Math.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26493/2590-9770.1333.152\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Art Discret. Appl. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/2590-9770.1333.152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Antilattices $(S;\lor, \land)$ for which the Green's equivalences $\mathcal L_{(\lor)}$, $\mathcal R_{(\lor)}$, $\mathcal L_{(\land)}$ and $\mathcal R_{(\land)}$ are all congruences of the entire antilattice are studied and enumerated.