St-Polyform Modules and Related Concepts
In this paper, we introduce a new concept named St-polyform modules, and show that the class of St-polyform modules is contained properly in the well-known classes; polyform, strongly essentially quasi-Dedekind and ?-nonsingular modules. Various properties of such modules are obtained. Another chara...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2018-09-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2482 |
| _version_ | 1811282056550809600 |
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| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | In this paper, we introduce a new concept named St-polyform modules, and show that the class of St-polyform modules is contained properly in the well-known classes; polyform, strongly essentially quasi-Dedekind and ?-nonsingular modules. Various properties of such modules are obtained. Another characterization of St-polyform module is given. An existence of St-polyform submodules in certain class of modules is considered. The relationships of St-polyform with some related concepts are investigated. Furthermore, we introduce other new classes which are; St-semisimple and ?-non St-singular modules, and we verify that the class of St-polyform modules lies between them. |
| first_indexed | 2024-04-13T01:44:46Z |
| format | Article |
| id | doaj.art-f304fe5588654ef59084d78d164e4ceb |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-04-13T01:44:46Z |
| publishDate | 2018-09-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-f304fe5588654ef59084d78d164e4ceb2022-12-22T03:08:05ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862018-09-0115310.21123/bsj.15.3.335-343St-Polyform Modules and Related ConceptsBaghdad Science JournalIn this paper, we introduce a new concept named St-polyform modules, and show that the class of St-polyform modules is contained properly in the well-known classes; polyform, strongly essentially quasi-Dedekind and ?-nonsingular modules. Various properties of such modules are obtained. Another characterization of St-polyform module is given. An existence of St-polyform submodules in certain class of modules is considered. The relationships of St-polyform with some related concepts are investigated. Furthermore, we introduce other new classes which are; St-semisimple and ?-non St-singular modules, and we verify that the class of St-polyform modules lies between them.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2482?-nonsingular modules, Polyform modules, Semi-essential submodules, St-closed submodules, Strongly essentially quasi-Dedekind modules. |
| spellingShingle | Baghdad Science Journal St-Polyform Modules and Related Concepts Baghdad Science Journal ?-nonsingular modules, Polyform modules, Semi-essential submodules, St-closed submodules, Strongly essentially quasi-Dedekind modules. |
| title | St-Polyform Modules and Related Concepts |
| title_full | St-Polyform Modules and Related Concepts |
| title_fullStr | St-Polyform Modules and Related Concepts |
| title_full_unstemmed | St-Polyform Modules and Related Concepts |
| title_short | St-Polyform Modules and Related Concepts |
| title_sort | st polyform modules and related concepts |
| topic | ?-nonsingular modules, Polyform modules, Semi-essential submodules, St-closed submodules, Strongly essentially quasi-Dedekind modules. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2482 |
| work_keys_str_mv | AT baghdadsciencejournal stpolyformmodulesandrelatedconcepts |