{"title":"⊕-g补充模的一些性质","authors":"C. Nebiyev, Hasan Hüseyin Ökten","doi":"10.18514/mmn.2023.3896","DOIUrl":null,"url":null,"abstract":". In this work ⊕− g − supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕− g − supplemented modules is also ⊕ − g − supplemented. Let M be a distributive and ⊕ − g − supplemented R − module. Then every factor module and homomorphic image of M are ⊕− g − supplemented. Let M be a ⊕ − g − supplemented R − module with SSP property. Then every direct summand of M is ⊕− g − supplemented.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some Properties of ⊕-g-Supplemented Modules\",\"authors\":\"C. Nebiyev, Hasan Hüseyin Ökten\",\"doi\":\"10.18514/mmn.2023.3896\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this work ⊕− g − supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕− g − supplemented modules is also ⊕ − g − supplemented. Let M be a distributive and ⊕ − g − supplemented R − module. Then every factor module and homomorphic image of M are ⊕− g − supplemented. Let M be a ⊕ − g − supplemented R − module with SSP property. Then every direct summand of M is ⊕− g − supplemented.\",\"PeriodicalId\":49806,\"journal\":{\"name\":\"Miskolc Mathematical Notes\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Miskolc Mathematical Notes\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18514/mmn.2023.3896\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18514/mmn.2023.3896","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
. In this work ⊕− g − supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕− g − supplemented modules is also ⊕ − g − supplemented. Let M be a distributive and ⊕ − g − supplemented R − module. Then every factor module and homomorphic image of M are ⊕− g − supplemented. Let M be a ⊕ − g − supplemented R − module with SSP property. Then every direct summand of M is ⊕− g − supplemented.
期刊介绍：
Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.
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