Last Updated
:2025/11/20
isotopic
Adjective
not-comparable
Japanese Meaning
(数学)pを特徴とする2つの前準体(presemifields)𝕊と𝕊'に対し、𝕊から𝕊'への3つの線形写像g₁, g₂, g₃が存在し、すべてのx, y∈𝕊に対してg₁(x・y)=g₂(x)∘g₃(y)が成立する場合、これらの前準体は同型ではないが類似の構造を持つとみなされ、「isotopic」と呼ばれる。
Quizzes for review
(mathematics) Of two presemifields 𝕊 and 𝕊' of characteristic p, when there exists three linear maps g_1, g_2, and g_3 from 𝕊 to 𝕊' such that g_1(x·y)=g_2(x)∘g_3(y) for all x,y∈𝕊.
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isotopic
Two finite presemifields are isotopic if there exist three linear maps g_1, g_2, and g_3 from one to the other such that g_1(x·y)=g_2(x)∘g_3(y) for all x,y in the first presemifield.
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Two finite presemifields are isotopic if there exist three linear maps g_1, g_2, and g_3 from one to the other such that g_1(x·y)=g_2(x)∘g_3(y) for all x,y in the first presemifield.
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