Last Updated :2025/12/01

Morita equivalence

Noun
uncountable
Japanese Meaning
環論における、二つの環の加群に関する構造を保つ同値関係。 / 環の環論的性質(例:加群の性質など)を保全する同値性。 / 環の間で、加群同値(つまり加群の理論的性質が一致する関係)によって定義される同値関係。
What is this buttons?

2つの環がモリタ同値であることを証明するには、しばしばそれらの加群(モジュール)圏同士の明示的な同値を構成する必要がある。

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(mathematics) A certain relationship defined between algebraic rings that preserves many ring-theoretic properties.

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Morita equivalence

Proving Morita equivalence between two rings often requires constructing an explicit equivalence between their module categories.

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Proving Morita equivalence between two rings often requires constructing an explicit equivalence between their module categories.

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