{"title":"消去和弱消去S-Acts","authors":"S. A. Jubair","doi":"10.55810/2312-5721.1032","DOIUrl":null,"url":null,"abstract":"The purpose of this work is to introduce and study a generalization of the cancellation (weak cancellation) of modules to acts. Then some notions related of modules was extend to arbitrary acts. Several statements that are equivalent to the cancellation (weak cancellation) property have been studied. Some characterizations of cancellation (weak cancellation) acts was presented and derive many of their properties. Using the condition of multiplication acts various results of cancellation (weak cancellation) acts are investigated.","PeriodicalId":218143,"journal":{"name":"Al-Bahir Journal for Engineering and Pure Sciences","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cancellation and Weak Cancellation S-Acts\",\"authors\":\"S. A. Jubair\",\"doi\":\"10.55810/2312-5721.1032\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this work is to introduce and study a generalization of the cancellation (weak cancellation) of modules to acts. Then some notions related of modules was extend to arbitrary acts. Several statements that are equivalent to the cancellation (weak cancellation) property have been studied. Some characterizations of cancellation (weak cancellation) acts was presented and derive many of their properties. Using the condition of multiplication acts various results of cancellation (weak cancellation) acts are investigated.\",\"PeriodicalId\":218143,\"journal\":{\"name\":\"Al-Bahir Journal for Engineering and Pure Sciences\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Bahir Journal for Engineering and Pure Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55810/2312-5721.1032\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Bahir Journal for Engineering and Pure Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55810/2312-5721.1032","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of this work is to introduce and study a generalization of the cancellation (weak cancellation) of modules to acts. Then some notions related of modules was extend to arbitrary acts. Several statements that are equivalent to the cancellation (weak cancellation) property have been studied. Some characterizations of cancellation (weak cancellation) acts was presented and derive many of their properties. Using the condition of multiplication acts various results of cancellation (weak cancellation) acts are investigated.
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