{"title":"Amplification of the functional closure operation","authors":"V. Lashkia","doi":"10.1109/ISMVL.1992.186810","DOIUrl":"https://doi.org/10.1109/ISMVL.1992.186810","url":null,"abstract":"A novel type of closure on the set of all finitary operations on a finite universe is introduced. It is known that the traditional closure generates a continuum structure of closed sets. The problem of which closures admit only finitely many closed sets is studied.<<ETX>>","PeriodicalId":127091,"journal":{"name":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126367161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rectangular algebras","authors":"R. Pöschel, M. Reichel","doi":"10.1109/ISMVL.1992.186804","DOIUrl":"https://doi.org/10.1109/ISMVL.1992.186804","url":null,"abstract":"Algebras of the variety RA/sub tau / generated by projection algebras (of type tau ) are called rectangular algebras. It turns out that an algebra (A; F) is rectangular if and only if A can be decomposed in (i.e., encoded by) components in such a way that every term function f:A/sup n/ to A can be performed in parallel and is a projection on each component (algebraically speaking, if is isomorphic to a direct product of projection algebras). A list Sigma /sub tau / of identities that completely characterize rectangular algebras is given. Every term in RA/sub tau / has a normal form. Some algorithms (for decomposition and normal form) and examples for finite algebras of finite type are given.<<ETX>>","PeriodicalId":127091,"journal":{"name":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130447576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}