{"title":"有限集合上的超克隆","authors":"B. A. Romov","doi":"10.1109/ISMVL.1997.601378","DOIUrl":null,"url":null,"abstract":"The composition-closed sets of multivalued operations, called hyperclones, defined on the finite set E(k)={0, 1, ..., k-1} (k/spl ges/2) are investigated. It is shown that the lattice of all hyperclones on E(k) is dual atomic and has only the finite number of dual atoms (maximal hyperclones). Some of them are described in this paper. The full list of hyperclones defined on the set E(2) which are closed under an arbitrary restriction of their elements is obtained.","PeriodicalId":206024,"journal":{"name":"Proceedings 1997 27th International Symposium on Multiple- Valued Logic","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Hyperclones on a finite set\",\"authors\":\"B. A. Romov\",\"doi\":\"10.1109/ISMVL.1997.601378\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The composition-closed sets of multivalued operations, called hyperclones, defined on the finite set E(k)={0, 1, ..., k-1} (k/spl ges/2) are investigated. It is shown that the lattice of all hyperclones on E(k) is dual atomic and has only the finite number of dual atoms (maximal hyperclones). Some of them are described in this paper. The full list of hyperclones defined on the set E(2) which are closed under an arbitrary restriction of their elements is obtained.\",\"PeriodicalId\":206024,\"journal\":{\"name\":\"Proceedings 1997 27th International Symposium on Multiple- Valued Logic\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 1997 27th International Symposium on Multiple- Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1997.601378\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 1997 27th International Symposium on Multiple- Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1997.601378","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The composition-closed sets of multivalued operations, called hyperclones, defined on the finite set E(k)={0, 1, ..., k-1} (k/spl ges/2) are investigated. It is shown that the lattice of all hyperclones on E(k) is dual atomic and has only the finite number of dual atoms (maximal hyperclones). Some of them are described in this paper. The full list of hyperclones defined on the set E(2) which are closed under an arbitrary restriction of their elements is obtained.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
