{"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}
引用次数: 0
Abstract
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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