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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.1
- 발행연도
- 2017.1
- 수록면
- 73 - 80 (8page)
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Let v = v1 Ο v2 Ο … Ο vn be a valuation of a feld K with rankv = n. Let (L, z)=(K, v) be a fnite extension of valued felds where z = z1 Ο z2 Ο … Ο zn is the extension of v to feld L . In this paper it is shown that, if (L, z)=(K, v) is a tame extension then fnite extensions of valued felds (L, z1)=(K, v1) and (kzi-1 , zi)=(kvi-1 , vi) are tame extensions for i = 2, …, n. In this paper a residual transcendental extension of w = w1 Ο w2 Ο … Ο wn to K(x) is studied and a characterization of lifting polynomials is given where wi is the residual extension of vi for i = 1, 2, …, n.
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참고문헌 (9)
참고문헌 신청
O. Endler / 1972 / Valuation Theory / Springer-Verlag
O. Zariski / 1960 / Commutative Algebra Volume II / Acta Arith 15:247~265
K. Aghigh / 2003 / A Note on Tame Fields / Fields Institute Communications 33:1~6
N.Popescu / 1996 / On the Extension of a valuation on a field K to K(x).-II / Rend. Sem. Mat. Univ. Padova 96:1~14
N. Popescu / 1995 / On the Structure of the Irreducible Polynomials over Local Fields / J. Number Theory 52(1):98~118
O. Zariski / 1960 / Commutative Algebra Volume II / Acta Arith 15:247~265
K. Aghigh / 2003 / A Note on Tame Fields / Fields Institute Communications 33:1~6
N.Popescu / 1996 / On the Extension of a valuation on a field K to K(x).-II / Rend. Sem. Mat. Univ. Padova 96:1~14
N. Popescu / 1995 / On the Structure of the Irreducible Polynomials over Local Fields / J. Number Theory 52(1):98~118
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