{"title":"A 1971 question of Grätzer and Lakser on pseudocomplemented lattices","authors":"Jonathan David Farley, Dominic van der Zypen","doi":"10.1556/314.2023.00020","DOIUrl":null,"url":null,"abstract":"Grätzer and Lakser asked in the 1971 Transactions of the American Mathematical Society if the pseudocomplemented distributive lattices in the amalgamation class of the subvariety generated by 2 n ⊕ 1 can be characterized by the property of not having a * homomorphism onto 2 i ⊕ 1 for 1 < i < n . In this article, this question is answered.","PeriodicalId":383314,"journal":{"name":"Mathematica Pannonica","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Pannonica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1556/314.2023.00020","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
Grätzer and Lakser asked in the 1971 Transactions of the American Mathematical Society if the pseudocomplemented distributive lattices in the amalgamation class of the subvariety generated by 2 n ⊕ 1 can be characterized by the property of not having a * homomorphism onto 2 i ⊕ 1 for 1 < i < n . In this article, this question is answered.