{"title":"Centralizing Monoids on a Three-Element Set Related to Binary Idempotent Functions","authors":"Hajime Machida, I. Rosenberg","doi":"10.1109/ISMVL.2016.32","DOIUrl":null,"url":null,"abstract":"A centralizing monoid M is a set of unary functions which commute with all members of some set F of multi-variable functions. The set F is called a witness of M. In this paper, we study centralizing monoids on a three-element set which have sets of binary idempotent functions as their witnesses. It is shown that the number of such centralizing monoids is 67.","PeriodicalId":246194,"journal":{"name":"2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2016.32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
A centralizing monoid M is a set of unary functions which commute with all members of some set F of multi-variable functions. The set F is called a witness of M. In this paper, we study centralizing monoids on a three-element set which have sets of binary idempotent functions as their witnesses. It is shown that the number of such centralizing monoids is 67.
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