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Dahlia Ramlan
Jurusan Matematika dan Statistika, FMIPA UNIPA
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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PEMBENTUKAN LAPANGAN FAKTOR DARI SUATU DAERAH INTEGRAL Tri Widjajanti; Dahlia Ramlan; Rium Hilum
Jurnal Natural Vol. 8 No. 2 (2009): Jurnal Natural
Publisher : FMIPA Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jn.v8i2.42

Abstract

Ring of integers under the addition and multiplication as integral domain can be imbedded to the field of rational numbers. In this paper we make a construction such that any integral domain can be a field of quotient. The construction contains three steps. First, we define element of field F from elements of integral domain D. Secondly, we show that the binary operations in fare well-defined. Finally, we prove that f : D ® F is an isomorphisma. In this case, the polynomial ring F[x] as the integral domain can be imbedded to the field of quotient..
Co-Authors Rium Hilum Tri Widjajanti