論文

査読有り
2017年

Semirigid Systems of Three Equivalence Relations

JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
  • Christian Delhomme
  • ,
  • Masahiro Miyakawa
  • ,
  • Maurice Pouzet
  • ,
  • Ivo G. Rosenberg
  • ,
  • Hisayuki Tatsumi

28
4-5
開始ページ
511
終了ページ
535
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
OLD CITY PUBLISHING INC

A system M of equivalence relations on a set E is semirigid if only the identity and constant functions preserve all members of M. We construct semirigid systems of three equivalence relations. Our construction leads to the examples given by Zadori in 1983 and to many others and also extends to some infinite cardinalities. As a consequence, we show that on every set of at most continuum cardinality distinct from 2 and 4 there exists a semirigid system of three equivalence relations.

Web of Science ® 被引用回数 : 2

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000400415500009&DestApp=WOS_CPL
URL
https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-28-number-4-5-2017/