If I₁ and I₂ are ideals of a ring R. Show that I₁ n I₂ is an ideal of R. Is I₁ u I₂ an ideal of R? Justify

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05-02-2024
Mathematics

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If I₁ and I₂ are ideals of a ring R. Show that I₁ n I₂ is an ideal of R. Is I₁ u I₂ an ideal of R? Justify

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Anna26cat Anna26cat · Answer 1 · 2024-02-05T08:08:35+01:00

Anna26cat Anna26cat

05-02-2024

Why In (1-e) is (0)? Like I was thinking I contain those elements e.g., e for which e² = e, then why not 1 - e contain in I as (1-e)²=1-e? does finitely generated ideal condition limited I to such idempotent!

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If I₁ and I₂ are ideals of a ring R. Show that I₁ n I₂ is an ideal of R. Is I₁ u I₂ an ideal of R? Justify​

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If I₁ and I₂ are ideals of a ring R. Show that I₁ n I₂ is an ideal of R. Is I₁ u I₂ an ideal of R? Justify