<> <http://www.w3.org/2000/01/rdf-schema#comment> "The repository administrator has not yet configured an RDF license."^^<http://www.w3.org/2001/XMLSchema#string> .
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<http://eprints.uny.ac.id/id/eprint/7271> <http://purl.org/dc/terms/title> "Modul Strongly ⊕–Supplemented"^^<http://www.w3.org/2001/XMLSchema#string> .
<http://eprints.uny.ac.id/id/eprint/7271> <http://purl.org/ontology/bibo/abstract> "Dari M sebarang grup abelian dan R sebarang ring dengan elemen satuan bersama dengan operasi pergandaan skalar antara elemen di R dan elemen di M dapat dibentuk suatu modul M atas ring R terhadap operasi pergandaan skalar tersebut sebagai generalisasi dari struktur ruang vektor atas suatu lapangan. Sebagaimana subruang dalam ruang vektor, dikenal pula struktur submodul dari sebuah modul. Dapat ditunjukkan bahwa jika A dan B sebarang submodul dari modul M, maka A ⋂ B da A + B jugamerupakan submodul dari M.\r\n\r\nDiberikan A dan B sebarang submodul dari modul M. Jika A + B = M berakibat B = M, maka submodul A dikatakan small di M. Selanjutnya, jika B submodul minimal yang memenuhi A + B = M, maka B disebut supplement dari A di M. Dapat ditunjukan bahwa hal ini ekuivalen dengan mengatakan submodul B menjadi supplement dari A di M jika A + B = M DAN A ⋂ B small di B. Modul M dikatakan tersuplemen (supplemented) jika setiap submodulnya memiliki supplement.\r\n\r\nPada sebarang modul M dikenal submodul yang menjadi direct summand dari M. Modul M dikatakan ⊕–Supplemented jika setiap submodulnya memiliki supplement yang merupakan direct summand dari M. Jika M modul ⊕–Supplemented maka dapat dipenuhi keadaan bahwa submodul B menjadi supplement dari A di M sehingga A ⊕ B = M. Hal ini yang akan menjadi landasan pemikiran dalam pendefinisian modul strongly ⊕–supplemented.\r\n\r\nDalam artikel ini akan dibahas tentang pengertian dan beberapa sifat terkait modul strongly ⊕–supplemented. Akan diberikan pula syarat perlu agar sebarang modul supplemented dapat menjadi modul strongly ⊕–supplemented\r\n\r\nKata kunci : submodul supplement, modul suplemented, modul ⊕–supplemented, modul strongly ⊖–supplemented."^^<http://www.w3.org/2001/XMLSchema#string> .
<http://eprints.uny.ac.id/id/eprint/7271> <http://purl.org/dc/terms/date> "2011-12-03" .
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