{"title":"伪补格上Grätzer和Lakser的一个1971问题","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":"{\"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}","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}
A 1971 question of Grätzer and Lakser on pseudocomplemented lattices
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.
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