What exactly is Abstract Algebra?

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I watched several videos but I still can’t understand the depths of the subject. I know its about groups and rings and other structures. While I do understand it is pure mathematics, it must have some application in other parts of pure mathematics as well, right? How is abstract algebra used in other (math) topics? I don’t understand the true depth of abstract algebra.

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Anonymous 0 Comments

[Modular arithmetic](https://en.wikipedia.org/wiki/Modular_arithmetic), for example, relies heavily on group theory and ring theory. Meanwhile, one of its most common applications nowadays is asymmetric encryption (such as RSA).

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