{"title":"强m固体品种和无q无性系","authors":"S. Phuapong","doi":"10.12816/0019894","DOIUrl":null,"url":null,"abstract":"A variety of algebras is called strongly solid if and only if every its identity is a strong hyperidentity. The clone of a strongly solid variety is free with respect to itself. M-solid varieties generalize the concept of solidity. In this paper, we describe the clone of an arbitrary M-strongly solid variety.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"M-Strongly Solid Varieties and Q-Free Clones\",\"authors\":\"S. Phuapong\",\"doi\":\"10.12816/0019894\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A variety of algebras is called strongly solid if and only if every its identity is a strong hyperidentity. The clone of a strongly solid variety is free with respect to itself. M-solid varieties generalize the concept of solidity. In this paper, we describe the clone of an arbitrary M-strongly solid variety.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0019894\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0019894","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A variety of algebras is called strongly solid if and only if every its identity is a strong hyperidentity. The clone of a strongly solid variety is free with respect to itself. M-solid varieties generalize the concept of solidity. In this paper, we describe the clone of an arbitrary M-strongly solid variety.