A collection of sets F is called an algebra if it holds the following:
I.
II. F is closed under complementation
III. F is closed under finite unions.
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JNU SSS 2021 Question 72: Sets, relations and functions
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A collection of sets F is called an algebra if it holds the following: I. ∅ ∈ F II. F is closed under complementation III. F is closed under finite unions. (A) Hold I and II (B) Hold I and III (C) Hold only I (D) Hold I,II and III
Also written as: A collection of sets F is called an algebra if it holds the following: I. {} in F II. F is closed under complementation III. F is closed under finite unions.
Sets, relations and functions has come up 65 times in 6 exams since 2004.
What this question tests
This question is on Sets and set operations, part of Sets, relations and functions in Mathematics.
Unions, intersections, complements and differences of sets, and the identities that connect them.
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