Last Updated
：2025/12/04
transcendence degree
Noun
of a field extension
Japanese Meaning
（体の拡大 L/K において）K の上で代数的に独立な部分集合の最大の濃度、すなわち超越次数。
（ plural ）
Quizzes for review
(algebra, field theory, of a field extension) Given a field extension L / K, the largest cardinality of an algebraically independent subset of L over K.
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transcendence degree
Given a field extension L over K, the transcendence degree is the cardinality of a maximal algebraically independent subset of L over K.
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Given a field extension L over K, the transcendence degree is the cardinality of a maximal algebraically independent subset of L over K.
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