Let {A,i e I} be a set of submodules of a module M and let B M. ( a) Prove Σ (A,ο Β)- Σ.)B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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Let {A,li e I} be a set of submodules of a module M and let B M.
( a) Prove Σ (A,Β)-(ΣΑ.
(2,4)~B.
В.
iel
iel
(b) Prove
A+B N(A; +B).
iel
Transcribed Image Text:Let {A,li e I} be a set of submodules of a module M and let B M. ( a) Prove Σ (A,Β)-(ΣΑ. (2,4)~B. В. iel iel (b) Prove A+B N(A; +B). iel
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