{"title":"p 算法的准变量：一些新成果","authors":"Tomasz Kowalski, Katarzyna Słomczyńska","doi":"arxiv-2409.08990","DOIUrl":null,"url":null,"abstract":"We investigate quasivarieties of (distributive) p-algebras. We sharpen some\nprevious results, give a better picture of the subquasivariety lattice, and\nprove that quasivarieties generated by free p-algebras belong to a rather small\nquasivariety characterised by excluding all but 3 subdirectly irreducibles.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasivarieties of p-algebras: some new results\",\"authors\":\"Tomasz Kowalski, Katarzyna Słomczyńska\",\"doi\":\"arxiv-2409.08990\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate quasivarieties of (distributive) p-algebras. We sharpen some\\nprevious results, give a better picture of the subquasivariety lattice, and\\nprove that quasivarieties generated by free p-algebras belong to a rather small\\nquasivariety characterised by excluding all but 3 subdirectly irreducibles.\",\"PeriodicalId\":501306,\"journal\":{\"name\":\"arXiv - MATH - Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"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-2409.08990\",\"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-2409.08990","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We investigate quasivarieties of (distributive) p-algebras. We sharpen some
previous results, give a better picture of the subquasivariety lattice, and
prove that quasivarieties generated by free p-algebras belong to a rather small
quasivariety characterised by excluding all but 3 subdirectly irreducibles.
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