let $A$ and $B$ be rings. Any $A\times B$ module is of the form $M\oplus N$ for some $A$-module $M$ and $B$-module $N$ with $(a,b)\cdot (m,n)=(am,bn)$

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108

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score 48 · Answer 10 · 2024-03-25 13:01:23

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score 62 · Answer 11 · 2015-01-18 13:30:10

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score 115 · Answer 12 · 2026-03-25 15:47:57

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score 480 · Answer 13 · 2015-02-21 14:51:59

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score 4.5k · Answer 14 · 2015-02-24 06:07:49

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score 785 · Answer 15 · 2015-03-04 15:26:47

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