Let R be an abelian group. View R as a ring by declaring the multiplication operation is ab = 0 for all a, b = R. Prove that every subgroup S ≤ R is actually an ideal.
Let R be an abelian group. View R as a ring by declaring the multiplication operation is ab = 0 for all a, b = R. Prove that every subgroup S ≤ R is actually an ideal.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 16E: A Boolean ring is a ring in which all elements x satisfy x2=x. Prove that every Boolean ring has...
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