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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2007 • Question 2

Question

Math 6310 • Algebra Spring 2007 • Question 2

Let \(R\) be a commutative ring with identity. Prove or disprove: the tensor product (over \(R\)) of two torsion free \(R\)-modules is torsion-free.

Raw LaTeX

Let \(R\) be a commutative ring with identity. Prove or disprove: the tensor product (over \(R\))
of two torsion free \(R\)-modules is torsion-free.

Topic Tags

Ideals and Quotient Rings Tensor Products of Modules