{"title":"里斯商单元M(abba)生成一个具有不可计数子域的变体","authors":"Daniel Glasson","doi":"10.1007/s00233-024-10463-5","DOIUrl":null,"url":null,"abstract":"<p>We utilise directed graphs called isoterm graphs to show that the variety generated by <i>M</i>(<i>abba</i>) has continuum many subvarieties.</p>","PeriodicalId":49549,"journal":{"name":"Semigroup Forum","volume":"6 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Rees quotient monoid M(abba) generates a variety with uncountably many subvarieties\",\"authors\":\"Daniel Glasson\",\"doi\":\"10.1007/s00233-024-10463-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We utilise directed graphs called isoterm graphs to show that the variety generated by <i>M</i>(<i>abba</i>) has continuum many subvarieties.</p>\",\"PeriodicalId\":49549,\"journal\":{\"name\":\"Semigroup Forum\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Semigroup Forum\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00233-024-10463-5\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Semigroup Forum","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00233-024-10463-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
期刊介绍：
Semigroup Forum is a platform for speedy and efficient transmission of information on current research in semigroup theory.
Scope: Algebraic semigroups, topological semigroups, partially ordered semigroups, semigroups of measures and harmonic analysis on semigroups, numerical semigroups, transformation semigroups, semigroups of operators, and applications of semigroup theory to other disciplines such as ring theory, category theory, automata, logic, etc.
Languages: English (preferred), French, German, Russian.
Survey Articles: Expository, such as a symposium lecture. Of any length. May include original work, but should present the nonspecialist with a reasonably elementary and self-contained account of the fundamental parts of the subject.
Research Articles: Will be subject to the usual refereeing procedure.
Research Announcements: Description, limited to eight pages, of new results, mostly without proofs, of full length papers appearing elsewhere. The announcement must be accompanied by a copy of the unabridged version.
Short Notes: (Maximum 4 pages) Worthy of the readers'' attention, such as new proofs, significant generalizations of known facts, comments on unsolved problems, historical remarks, etc.
Research Problems: Unsolved research problems.
Announcements: Of conferences, seminars, and symposia on Semigroup Theory.
Abstracts and Bibliographical Items: Abstracts in English, limited to one page, of completed work are solicited.
Listings of books, papers, and lecture notes previously published elsewhere and, above all, of new papers for which preprints are available are solicited from all authors.
Abstracts for Reviewing Journals: Authors are invited to provide with their manuscript informally a one-page abstract of their contribution with key words and phrases and with subject matter classification. This material will be forwarded to Zentralblatt für Mathematik.
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