{"title":"d $$_{0}$ -代数上的全等性","authors":"Anna Avallone, Paolo Vitolo","doi":"10.1007/s10773-024-05709-5","DOIUrl":null,"url":null,"abstract":"<p>We introduce a property weaker than congruence-permutability and show that every d<span>\\(_{\\text {0}}\\)</span>-algebra has this property. We also show that in general d<span>\\(_{\\text {0}}\\)</span>-algebras are not congruence-permutable, and that a sufficient condition for a d<span>\\(_{\\text {0}}\\)</span>-algebra to be congruence-permutable is being directed. However this condition is not necessary.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Permutability of Congruences on d $$_{0}$$ -Algebras\",\"authors\":\"Anna Avallone, Paolo Vitolo\",\"doi\":\"10.1007/s10773-024-05709-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We introduce a property weaker than congruence-permutability and show that every d<span>\\\\(_{\\\\text {0}}\\\\)</span>-algebra has this property. We also show that in general d<span>\\\\(_{\\\\text {0}}\\\\)</span>-algebras are not congruence-permutable, and that a sufficient condition for a d<span>\\\\(_{\\\\text {0}}\\\\)</span>-algebra to be congruence-permutable is being directed. However this condition is not necessary.</p>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s10773-024-05709-5\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10773-024-05709-5","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Permutability of Congruences on d $$_{0}$$ -Algebras
We introduce a property weaker than congruence-permutability and show that every d\(_{\text {0}}\)-algebra has this property. We also show that in general d\(_{\text {0}}\)-algebras are not congruence-permutable, and that a sufficient condition for a d\(_{\text {0}}\)-algebra to be congruence-permutable is being directed. However this condition is not necessary.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.