{"title":"On duality between order and algebraic structures in Boolean systems","authors":"A. Dadej, K. Halik","doi":"10.7862/RF.2013.4","DOIUrl":null,"url":null,"abstract":"nski Abstract: We present an extension of the known one-to-one corre- spondence between Boolean algebras and Boolean rings with unit being two types of Boolean systems endowed with order and algebraic struc- tures, respectively. Two equivalent generalizations of Boolean algebras are discussed. We show that there is a one-to-one correspondence between any of the two mentioned generalized Boolean algebras and Boolean rings without unit.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2013.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
nski Abstract: We present an extension of the known one-to-one corre- spondence between Boolean algebras and Boolean rings with unit being two types of Boolean systems endowed with order and algebraic struc- tures, respectively. Two equivalent generalizations of Boolean algebras are discussed. We show that there is a one-to-one correspondence between any of the two mentioned generalized Boolean algebras and Boolean rings without unit.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
