Suppose * is a binary operation on a set S. Which statement best describes problem?
Suppose * is a binary operation on a set S. Which statement best describes problem?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:None of the others.
Suppose is a binary operation on a set S.
Which statement best describes problem?
Must have either an identity or a zero (if exists), but not both.
Must only have at most one idempotent.
An idempotent (if exists) must be either an identity or a zero.
If it has an identity and a zero, then they must be the same element.
LII
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Given that is a binary operation on a set S.
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