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FIELD FORMATION OF CIRCULANT MATRIX

Mahfudz Reza Fahlevi
BAREKENG: Jurnal Ilmu Matematika dan Terapan , Volume 14, pp 473-480; doi:10.30598/barekengvol14iss3pp473-480

Abstract: The axioms of fields satisfy over sets of numbers such as Q, R, and C. Generally, a set of matrix is not commutative for binary multiplication properties, such that cannot satisfy of field axioms. In this paper we will discuss circulant matrix set [CIRCn(a)] which satisfy the commutative properties of multiplication, then it will be shown that the definition of a field is satisfied by circulant matrix [CIRCn*(a)] . This can provide new perspective on a field formed by matrix.
Keywords: circulant matrix / binary / commutative / Circn / satisfy of field / axioms of fields

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