{"title":"qtag -模的广义子模的刻画","authors":"Ayazul Hasan","doi":"10.18514/mmn.2023.4051","DOIUrl":null,"url":null,"abstract":". We characterize the α -large submodules of α -modules in terms of certain sequences of ordinals, and give some of their interesting properties. Also, we deal with α -large submodules of the closure of an unbounded direct sum of uniserial modules, and the α -large submodules of the smallest α -pure fully invariant submodules of the closure containing a given element.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":"25 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Characterizations of generalized submodules of QTAG-modules\",\"authors\":\"Ayazul Hasan\",\"doi\":\"10.18514/mmn.2023.4051\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We characterize the α -large submodules of α -modules in terms of certain sequences of ordinals, and give some of their interesting properties. Also, we deal with α -large submodules of the closure of an unbounded direct sum of uniserial modules, and the α -large submodules of the smallest α -pure fully invariant submodules of the closure containing a given element.\",\"PeriodicalId\":51252,\"journal\":{\"name\":\"Miskolc Mathematical Notes\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Miskolc Mathematical Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18514/mmn.2023.4051\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18514/mmn.2023.4051","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Characterizations of generalized submodules of QTAG-modules
. We characterize the α -large submodules of α -modules in terms of certain sequences of ordinals, and give some of their interesting properties. Also, we deal with α -large submodules of the closure of an unbounded direct sum of uniserial modules, and the α -large submodules of the smallest α -pure fully invariant submodules of the closure containing a given element.
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.