If A is a finitely generated torsion module, then {re RI rA = OI is a nonzero
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If A is a finitely generated torsion module, then {re RI rA = OI is a nonzero ideal in R, say (r1). r1 is called the minimal annihilator of A. Let A be a finite abelian group with minimal annihilator m e Z. Show that a cyclic subgroup of A of order properly dividing m need not be a direct summand of A.
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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