Mathematics · Abstract Algebra
Let A and B be two submodules of an R-module M. Consider the following statements: I. A ∩ B is a submodule of M. II. A ∪ B is a submodule of M. Which of the following options is correct?
- 1Both I and II are false
- 2I is false but II is true
- 3I is true but II is false✓
- 4Both I and II are true
Correct answer
I is true but II is false
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