Solutions Chapters 1-5

Book Id: WPLBN0000667892
Format Type: PDF eBook:
File Size: 0.5 MB
Reproduction Date: 2005

Title:	Solutions Chapters 1-5
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Language:	English
Subject:	Science., Mathematics, Logic
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Citation APA MLA Chicago Solutions Chapters 1-5. (n.d.). Solutions Chapters 1-5. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: Under multiplication, the positive integers form a monoid but not a group, and the positive even integers form a semigroup but not a monoid. With |a| denoting the order of a, we have |0| = 1, |1| = 6, |2| = 3, |3| = 2, |4| = 3, and |5| = 6. There is a subgroup of order 6/d for each divisor d of 6. We have Z6 itself (d=1), {0}(d = 6), {0, 2, 4}(d = 2), and {0, 3}(d = 3).