# Abstract Algebra

- StudyBlue
- Virginia
- Lynchburg College
- Mathematics
- Mathematics 405
- Cline
- Abstract Algebra

**Created:**2011-09-11

**Last Modified:**2011-09-19

*greatest common divisor*of two nonzero integers a and b is the largest of all common divisors of a and b. We denote this integer by gcd(a,b). When gcd(a,b) = 1, we say a and b are

*relatively prime*.

*n*be a fixed positive integer. For any integer

*a*,

*a*mod

*n*is the remainder upon dividing

*a*by

*n*.

*a*and

*b*are integers and

*n*is a positive integer, we write

*a*=

*b*mod n when

*n*divides

*a - b*.

#### Words From Our Students

"StudyBlue is great for studying. I love the study guides, flashcards, and quizzes. So extremely helpful for all of my classes!"

Alice, Arizona State University

"I'm a student using StudyBlue, and I can 100% say that it helps me so much. Study materials for almost every subject in school are available in StudyBlue. It is so helpful for my education!"

Tim, University of Florida

"StudyBlue provides way more features than other studying apps, and thus allows me to learn very quickly! I actually feel much more comfortable taking my exams after I study with this app. It's amazing!"

Jennifer, Rutgers University

"I love flashcards but carrying around physical flashcards is cumbersome and simply outdated. StudyBlue is exactly what I was looking for!"

Justin, LSU