Homomorfisma Ring Matriks atas Ring Semigrup
نویسندگان
چکیده
Diberikan sebarang ring R dan semigrup S. Ring R[S] adalah himpunan semua fungsi f dari S ke dengan supp(f) berhingga yang dilengkapi operasi penjumlahan pergandaan sama pada polinomial R[X]. Di sisi lain, matriks M_n (R) atas berukuran n×n perkalian matriks. dalam penelitian ini, dikonstruksi (R_1 [S_1 ] ) (R_2 [S_2 R_1,R_2 S,S_2 semigrup. Selain itu, didefinisikan pemetaan τ menggunakan homomorfisma δ:S_1→S_2 μ:R_1→R_2. Selanjutnya, dibuktikan merupakan ring. Lebih lanjut, diberikan syarat cukup agar monomorfisma.
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ژورنال
عنوان ژورنال: Limits: Journal of Mathematics and its Applications
سال: 2022
ISSN: ['2579-8936', '1829-605X']
DOI: https://doi.org/10.12962/limits.v19i2.9790