KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH

IRAWANTO, BAMBANG (2001) KETERHUBUNGAN GALOIS FIELD DAN LAPANGAN PEMISAH. JURNAL MATEMATIKA DAN KOMPUTER . ISSN 1510-8518

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Abstract

In this paper, it was learned of the necessary and sufficient condition for finite field with pn elements, p prime and n ³ 1 an integer. A field F is an extention field of a field K if K subfield F. The extension field F of field K is Splitting field of collection polinomial { fi (x) | i Î I } of K if F smallest subfield Kcontaining K and all the zeros in Kof the polinomial fi(x). The zeros of polinomial fi(x) are elements of field F and the elements of F is finite then F is finite field (Galois fileld). F is finite with pn elements, p prime and n ³ 1 an integer if only if F is Splitting field of xpn - x over Zp.

Item Type:Article
Uncontrolled Keywords:extention fields, splitting fields, finite fields.
Subjects:Q Science > QA Mathematics
Divisions:Faculty of Science and Mathematics > Department of Mathematics
ID Code:2617
Deposited By:Mr. Matematika Admin
Deposited On:14 Dec 2009 12:13
Last Modified:14 Dec 2009 12:13

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