{"title":"直接产品、品种、密实条件","authors":"M. Shahryari, A. Shevlyakov","doi":"10.1515/gcc-2017-0011","DOIUrl":null,"url":null,"abstract":"Abstract We study equationally Noetherian and 𝐪 ω {{\\mathbf{q}_{\\omega}}} -compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"6 1","pages":"159 - 166"},"PeriodicalIF":0.1000,"publicationDate":"2017-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Direct products, varieties, and compactness conditions\",\"authors\":\"M. Shahryari, A. Shevlyakov\",\"doi\":\"10.1515/gcc-2017-0011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study equationally Noetherian and 𝐪 ω {{\\\\mathbf{q}_{\\\\omega}}} -compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.\",\"PeriodicalId\":41862,\"journal\":{\"name\":\"Groups Complexity Cryptology\",\"volume\":\"6 1\",\"pages\":\"159 - 166\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2017-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups Complexity Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gcc-2017-0011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complexity Cryptology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc-2017-0011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Direct products, varieties, and compactness conditions
Abstract We study equationally Noetherian and 𝐪 ω {{\mathbf{q}_{\omega}}} -compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.
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