{"title":"布尔函数的多数闭仆从","authors":"Erkko Lehtonen","doi":"10.1007/s00012-023-00835-3","DOIUrl":null,"url":null,"abstract":"<div><p>The 93 minions of Boolean functions stable under left composition with the clone of self-dual monotone functions are described. As an easy consequence, all <span>\\((C_1,C_2)\\)</span>-clonoids of Boolean functions are determined for an arbitrary clone <span>\\(C_1\\)</span> and for any clone <span>\\(C_2\\)</span> containing the clone of self-dual monotone functions.</p></div>","PeriodicalId":50827,"journal":{"name":"Algebra Universalis","volume":"85 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Majority-closed minions of Boolean functions\",\"authors\":\"Erkko Lehtonen\",\"doi\":\"10.1007/s00012-023-00835-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The 93 minions of Boolean functions stable under left composition with the clone of self-dual monotone functions are described. As an easy consequence, all <span>\\\\((C_1,C_2)\\\\)</span>-clonoids of Boolean functions are determined for an arbitrary clone <span>\\\\(C_1\\\\)</span> and for any clone <span>\\\\(C_2\\\\)</span> containing the clone of self-dual monotone functions.</p></div>\",\"PeriodicalId\":50827,\"journal\":{\"name\":\"Algebra Universalis\",\"volume\":\"85 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra Universalis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00012-023-00835-3\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra Universalis","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00012-023-00835-3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The 93 minions of Boolean functions stable under left composition with the clone of self-dual monotone functions are described. As an easy consequence, all \((C_1,C_2)\)-clonoids of Boolean functions are determined for an arbitrary clone \(C_1\) and for any clone \(C_2\) containing the clone of self-dual monotone functions.
期刊介绍：
Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.
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