{"title":"A finite representation of relation algebra \\(\\varvec{1896_{3013}}\\)","authors":"Jeremy F. Alm","doi":"10.1007/s00012-024-00881-5","DOIUrl":null,"url":null,"abstract":"<div><p>We give a representation of relation algebra <span>\\(1896_{3013}\\)</span>, which has symmetric atoms <span>\\(1'\\)</span>, <i>a</i>, <i>b</i>, <i>c</i>, and <i>d</i>. The sole forbidden diversity cycle is <i>bcd</i>; the atom <i>a</i> is flexible. We give a group representation over <span>\\(\\mathbb {Z}/1531\\mathbb {Z}\\)</span>.</p></div>","PeriodicalId":50827,"journal":{"name":"Algebra Universalis","volume":"86 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra Universalis","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00012-024-00881-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We give a representation of relation algebra \(1896_{3013}\), which has symmetric atoms \(1'\), a, b, c, and d. The sole forbidden diversity cycle is bcd; the atom a is flexible. We give a group representation over \(\mathbb {Z}/1531\mathbb {Z}\).
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.