1. Operasi biner 2. Grup dan sifat-sifatnya 3. Subgrup 4. Grup siklik dan generator 5. Grup permutasi, koset dan teorema lagrange 6. Homomorfisma grup 7. Ring dan sifat-sifatnya 8. Subring ...
penjelasan struktur aljabar
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Descripción: penjelasan struktur aljabar
1. Operasi biner 2. Grup dan sifat-sifatnya 3. Subgrup 4. Grup siklik dan generator 5. Grup permutasi, koset dan teorema lagrange 6. Homomorfisma grup 7. Ring dan sifat-sifatnya 8. Su…Deskripsi lengkap
penjelasan struktur aljabarDeskripsi lengkap
berisi tentang materi strukbar 1Deskripsi lengkap
pelajari selengkapnyaDeskripsi lengkap
pelajari selengkapnyaDeskripsi lengkap
STRUKTURDeskripsi lengkap
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strukbarFull description
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aljabar pada abad ke-19Deskripsi lengkap
aljabar pada abad ke-19
Aljabar kelas 7Full description
sejarahFull description
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Rumus Matematika aljabar untuk SMP lengkap!!!!!!!!
SAL Bagian 2 Antonius CP Outline
STRUKTUR ALJABAR LANJUT (Bagian 2) (Pengantar Teori Ring) Antonius Cahya Prihandoko Universitas Universitas Jember Indonesia Prodi Pendidikan Matematika FKIP University of Jember Indonesia Jember, Jember, 2009
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Disajikan oleh SAL Bagian 2 Antonius CP Outline
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Outline SAL Bagian 2 Antonius CP Outline
1
Ring Polinomial
2
Homomorfisma Ring
3
Ring Faktor
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Outline SAL Bagian 2 Antonius CP Outline
1
Ring Polinomial
2
Homomorfisma Ring
3
Ring Faktor
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Outline SAL Bagian 2 Antonius CP Outline
1
Ring Polinomial
2
Homomorfisma Ring
3
Ring Faktor
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Outline SAL Bagian 2 Antonius CP Outline
1
Ring Polinomial
2
Homomorfisma Ring
3
Ring Faktor
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Polinomial SAL Bagian 2 Antonius CP
Definisi Polinom
Ring Polinomial
Misalkan R adalah adalah ring. Polinom f Polinom f (x ) dengan koefisien dalam R adalah adalah sebuah penjumlahan formal takhingga
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Polinomial SAL Bagian 2 Antonius CP
Definisi Polinom
Ring Polinomial
Misalkan R adalah adalah ring. Polinom f Polinom f (x ) dengan koefisien dalam R adalah adalah sebuah penjumlahan formal takhingga
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Polinomial SAL Bagian 2 Antonius CP Ring Polinomial
Ring Komutatif dengan Unity
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Polinomial SAL Bagian 2 Antonius CP Ring Polinomial
Ring Komutatif dengan Unity
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Homomorfisma Evaluasi SAL Bagian 2 Antonius CP Ring Polinomial
Definisi Homomorfisma Evaluasi
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Nol dari suatu Polinom
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Algoritma Pembagian dalam F[x]
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Algoritma Pembagian dalam F[x]
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Algoritma Pembagian dalam F[x]
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Homomorfisma Homomo rfisma Ring
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Ideal SAL Bagian 2 Antonius CP
Definisi Ideal
Suatu subring N dari dari ring R yang yang bersifat aN ⊆ N dan disebut ideal.. Homomomorfisma Homomomorfis ma Nb ⊆ N , ∀a , b ∈ R , disebut ideal Ring Polinomial
Ring Faktor Ideal Maksimal dan Prima
Pembentukan Ring Faktor oleh Ideal Misalkan N adalah adalah ideal pada ring R ring R . Maka R /N = {a + + N |a ∈ ∈ R } merupakan ring dengan operasi-operasi biner :
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Teorema Homomorfisma Dasar SAL Bagian 2 Antonius CP
Teorema 1
Ring Polinomial
Misalkan N adalah adalah ideal dari ring R . Maka φ : R → R /N Homomomorfisma Homomomorfis ma yang didefinisikan oleh φ(a ) = a + + N , merupakan Ring Faktor homomorphisma ring dengan Ker (φ) = N . Ideal Maksimal dan Prima
Teorema Dasar Homomorfisma Ring Misalkan φ : R → R adalah homomorphisma ring dengan Ker (φ) = N . Maka φ(R ) merupakan ring, dan pemetaan
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Teorema Homomorfisma Dasar SAL Bagian 2 Antonius CP
Teorema 1
Ring Polinomial
Misalkan N adalah adalah ideal dari ring R . Maka φ : R → R /N Homomomorfisma Homomomorfis ma yang didefinisikan oleh φ(a ) = a + + N , merupakan Ring Faktor homomorphisma ring dengan Ker (φ) = N . Ideal Maksimal dan Prima
Teorema Dasar Homomorfisma Ring Misalkan φ : R → R adalah homomorphisma ring dengan Ker (φ) = N . Maka φ(R ) merupakan ring, dan pemetaan
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Ideal Maksimal SAL Bagian 2 Antonius CP Ring Polinomial
Teorema 1
Jika R sebuah sebuah ring dengan unity, dan N adalah adalah ideal pada Homomomorfisma Homomomorfis ma R yang yang memuat suatu unit, maka N = R . Ring Faktor Ideal Maksimal dan Prima
Akibatnya Sebuah field tidak memiliki ideal proper nontrivial. Ideal Maksimal
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Ideal Maksimal SAL Bagian 2 Antonius CP Ring Polinomial
Teorema 1
Jika R sebuah sebuah ring dengan unity, dan N adalah adalah ideal pada Homomomorfisma Homomomorfis ma R yang yang memuat suatu unit, maka N = R . Ring Faktor Ideal Maksimal dan Prima
Akibatnya Sebuah field tidak memiliki ideal proper nontrivial. Ideal Maksimal
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Ideal Maksimal SAL Bagian 2 Antonius CP Ring Polinomial Homomomorfis
Teorema 1 Jika R sebuah sebuah ring dengan unity, dan N adalah adalah ideal pada
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Ideal Maksimal SAL Bagian 2 Antonius CP Ring Polinomial Homomomorfis
Teorema Ideal Maksimal
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Ideal Maksimal SAL Bagian 2 Antonius CP Ring Polinomial Homomomorfis
Teorema Ideal Maksimal
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Ideal Prima SAL Bagian 2 Antonius CP
Ideal Prima
Ring Polinomial
Sebuah ideal N ideal N = pada sebuah ring komutatif R disebut disebut R pada ideal prima jika prima jika ab ∈ N berimplikasi a berimplikasi a ∈ N atau atau b ∈ N , N ,
Homomomorfis
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Ideal Prima SAL Bagian 2 Antonius CP
Ideal Prima
Ring Polinomial
Sebuah ideal N ideal N = pada sebuah ring komutatif R disebut disebut R pada ideal prima jika prima jika ab ∈ N berimplikasi a berimplikasi a ∈ N atau atau b ∈ N , N ,
Homomomorfis
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Ideal Prima
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Resume Ideal Maksimal, Ideal Prima dan Grup Faktor
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