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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.1
- 수록면
- 65 - 74 (10page)
- DOI
- 10.4134/CKMS.c210016
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초록· 키워드
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A valued field $(K,v)$ is called defectless if each of its finite extensions is defectless. In \cite{a.k.o.2002}, Aghigh and Khanduja posed a question on defectless extensions of henselian valued fields: ``if every simple algebraic extension of a henselian valued field $(K,v)$ is defectless, then is it true that $(K,v)$ is defectless?'' They gave an example to show that the answer is ``no'' in general. This paper explores when the answer to the mentioned question is affirmative. More precisely, for a henselian valued field $(K,v)$ such that each of its simple algebraic extensions is defectless, we investigate additional conditions under which $(K,v)$ is defectless.
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