Last Updated：2025/11/25

(algebra) A subring which is closed under right-multiplication by any element of the ring.

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right ideal

Source Word

right ideal

Noun

(algebra) A subring which is closed under right-multiplication by any element of the ring.

Japanese Meaning

代数学において、環の任意の元との右側の乗法について閉じている部分環。

If I is a right ideal of the ring R, then for every r in R and x in I we have xr ∈ I.

環Rの右側イデアルIについて、任意のr∈Rおよびx∈Iに対してxrはIに属する。

Sense（1）

(algebra) A subring which is closed under right-multiplication by any element of the ring.

If I is a right ideal of R then Ir⊆I for any r isin R.

right ideals

（ plural ）