Abstraktnaya Algebra - Idyeal, Algebra Khopfa, Algebra Li, Tablitsa Oboznachenii Abstraktnoi Algebry, Algebraicheskaya Sistema (Russian, Paperback)

Istochnik: Wikipedia. Stranitsy: 43. Glavy: Idyeal, Algebra Khopfa, Algebra Li, Tablitsa oboznachenii abstraktnoi algebry, Algebraicheskaya sistema, Kommutator operatorov, Konechnoe pole, Kol tso, Algebraicheskoe chislo, Topologiya Zarisskogo, Mnogochlen nad konechnym polem, Bazis Gre bnera, Modul nad kol tsom, Skalyar, Osnovnaya tyeorema algebry, Izomorfizm, Sistema kornyei, Tyeoremy ob izomorfizme, Polukol tso, Algebra Valya, Polugruppa, Koalgebra, Chetvernaya gruppa Klyei na, Magma, Yadro, Polichisla, Sizigiya, Tyeorema Frobeniusa, Avtomorfizm, Vlozhenie, Formal nyi stepennoi ryad, Nyei tral nyi element, Kvantovaya gruppa, Proektivnyi predel, Gruppa Grotendika, Kvazigruppa, Yedinichnaya matritsa, Kommutantno-assotsiativnaya algebra, Faktorkol tso, Operada, Obratnyi element, Gomomorfizm, Idempotentnost, Gomologicheskaya algebra, Pole razlozheniya, Monoid, Abelevo rasshirenie, Kategoriya modulyei, Faktoralgebra, Tyeorema Kronekera - Vebera, Assotsiativnost, Unitarnaya algebra, Giperkompleksnoe chislo, Pervoobraznyi koren, Diskretnoe pryeobrazovanie Fur e nad konechnym polem, Universal naya algebra, Algebraicheskaya nezavisimost, Garmonicheskii mnogochlen, Polugruppa s deleniem, Kommutativnaya algebra, Tyeoriya polyei klassov, Algebraicheskoe rasshirenie, Telo, Operator zamykaniya, Modulyarnyi idyeal, Lupa, Skalyarnaya matritsa, Zamykanie, Prostoe pole, Endomorfizm. Vyderzhka: Idyeal - odno iz osnovnykh ponyatii abstraktnoi algebry. Naibol shyee znachenie idyealy imyeyut v tyeorii kolets, no takzhe opredelyayut.sya i dlya polugrupp, algebr i nekotorykh drugikh algebraicheskikh struktur. Nazvanie -idyeal- vedet svoe proiskhozhdenie ot -idyeal nykh chisel-. Prostyei shimi primerami idyealov mozhet sluzhit podkol tso che tnykh chisel v kol tse tselykh chisel. Idyealy dayut udobnyi yazyk dlya obobshcheniya rezul tatov tyeorii chisel na obshchie kol tsa. Naprimer, v kol tsakh vmesto prostykh chisel izuchayut.sya prostye idyealy, kak obobshchenie...