Алгебра фанидан тайёрланган "Нормальный подгруппа и фактор группа" номли тақдимот
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Нормальный подгруппа и фактор группа
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Просмотр содержимого документа
«Нормальный подгруппа и фактор группа»
Ўзбекистон Республикаси Олий ва ўрта махсус таълим вазирлиги Гулистон давлат университети “Математика” кафедраси катта ўқитувчиси Досанов Муртазақулнинг “Алгебра” фанидан
“ НОРМАЛ ҚИСМ ГРУППА ВА ФАКТОР ГРУППА” мавзусидаги ТАҚДИМОТИ Тошкент,14 октябрь 2016 йил.
РЕЖА
- НОРМАЛ ҚИСМ ГРУППА ВА ФАКТОР ГРУППА
- ГРУППАЛАР ГОМОМОРФИЗМИ
- ХУЛОСА
1. Нормал қисм группа ва фактор-группа
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AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAA////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAA/v///wAAAAAAAAAA/v///wIAAAD+/////v///wUAAAAGAAAABwAAAP7/ //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////8BAAAC CAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 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FAAAAAAAAAABAEMAbwBtAHAATwBiAGoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAEgACAP////8DAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAEAAABpAAAAAAAAAAMATwBiAGoASQBuAGYAbwAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASAAIA/////wQAAAD///// AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwAAAAYAAAAAAAAAAwBPAEMA WABOAEEATQBFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAABIAAgD/////BQAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAD+////AAAAAAAAAABjAG8AbgB0AGUAbgB0AHMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEgACAP////8GAAAA/////wAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAP7///8AAAAAAAAAAEUAcQB1AGEAdABpAG8AbgAgAE4A YQB0AGkAdgBlAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAIA//////// ////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAOEAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 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AAAAAAAAAAAAAAAAAAAAAAAA////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAA/v///wAAAAAAAAAA/v///wIAAAD+/////v///wUAAAAGAAAABwAAAP7/ //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////8BAAAC CAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAQD+/wMKAAD/////A84CAAAAAADAAAAAAAAARhYAAABNYXRoVHlwZSA2LjAgRXF1 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Таъриф. 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тенглик ўринли бўлса, у ҳолда 0M8R4KGxGuEAAAAAAAAAAAAAAAAAAAAAOwADAP7/CQAGAAAAAAAAAAAAAAABAAAABAAAAAAA AAAAEAAAAgAAAAEAAAD+////AAAAAAAAAAD///////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// ///////////////////////////////////9//////////7////+////BQAAAP7///////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// 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Масала 1. 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дейилади.
Мисол 1. 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тенглик бажарилса, у ҳолда бу акслантиришга гомоморфизм дейилади.
Таъриф. 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(5)
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Ушбу
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Унинг ядроси ва образи қуйидаги тўпламлардан иборат:
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У ҳолда ушбу
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У ҳолда ушбу
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Гомоморфизм ҳақидаги теоремага кўра
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