{"title":"直接不可分解的多重代数","authors":"Mahsa Davodian, Mohsen Asghari-Larimi, Reza Ameri","doi":"10.37394/232020.2023.3.8","DOIUrl":null,"url":null,"abstract":"The aim of this paper is the study directly indecomposible multialgebras. In this regards, first the isomorphism theorems and correspondence theorem for multialgebras. Then by applying congruences relation on multialgebras factor multialgebras are constructed and some important properties of them are obtained. In particular, it is shown that every finite multialgebra is isomorphic to a direct products of directly indecomposable of multialgebras. Finally, subdirect products and subdirect irreducible of multialgebras are investigated and Birkoff’s theorem is extended to multialgebras.","PeriodicalId":93382,"journal":{"name":"The international journal of evidence & proof","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Directly Indecomposible Multialgebras\",\"authors\":\"Mahsa Davodian, Mohsen Asghari-Larimi, Reza Ameri\",\"doi\":\"10.37394/232020.2023.3.8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is the study directly indecomposible multialgebras. In this regards, first the isomorphism theorems and correspondence theorem for multialgebras. Then by applying congruences relation on multialgebras factor multialgebras are constructed and some important properties of them are obtained. In particular, it is shown that every finite multialgebra is isomorphic to a direct products of directly indecomposable of multialgebras. Finally, subdirect products and subdirect irreducible of multialgebras are investigated and Birkoff’s theorem is extended to multialgebras.\",\"PeriodicalId\":93382,\"journal\":{\"name\":\"The international journal of evidence & proof\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The international journal of evidence & proof\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/232020.2023.3.8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The international journal of evidence & proof","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/232020.2023.3.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The aim of this paper is the study directly indecomposible multialgebras. In this regards, first the isomorphism theorems and correspondence theorem for multialgebras. Then by applying congruences relation on multialgebras factor multialgebras are constructed and some important properties of them are obtained. In particular, it is shown that every finite multialgebra is isomorphic to a direct products of directly indecomposable of multialgebras. Finally, subdirect products and subdirect irreducible of multialgebras are investigated and Birkoff’s theorem is extended to multialgebras.
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