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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2024 • Question 3

Question

Math 6310 • Algebra Fall 2024 • Question 3

Determine all the \(\mathbb {Z}\)-submodules of the \(\mathbb {Z}\)-module \(\mathbb {Z}/(3)\oplus \mathbb {Z}/(3)\oplus \mathbb {Z}/(9)\) consisting of 3 elements.

Raw LaTeX

Determine all the \(\mathbb{Z}\)-submodules of the \(\mathbb{Z}\)-module \(\mathbb{Z}/(3)\oplus\mathbb{Z}/(3)\oplus\mathbb{Z}/(9)\) consisting of 3 elements.

Topic Tags

Ideals and Quotient Rings Modules over PIDs