Last Updated
：2025/12/04
quotient ring
Noun
Japanese Meaning
与えられた環 R とその中のイデアル I に対して、I の剰余類からなる新しい環（商環）を意味します。 / 環論において、環 R のイデアル I により形成される、各要素が I の剰余類として表される環のことを指します。
（ plural ）
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(algebra, ring theory) For a given ring R and ideal I contained in R, another ring, denoted R / I, whose elements are the cosets of I in R.
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quotient ring
In many algebra courses, the construction of the quotient ring R/I illustrates how ideals produce new rings.
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In many algebra courses, the construction of the quotient ring R/I illustrates how ideals produce new rings.
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