Is abstract algebra hard?
Accordingly, which is harder linear algebra or abstract algebra?
waaay easier. If you refer to modules, rings, fields, etc. when speaking of abstract algebra, then it's gonna be at least as difficult as linear algebra. The abstract algebraic concepts in linear algebra are usually fewer and easier to understand than the ones encountered in a typical abstract algebra class.
Also know, is abstract algebra useful?
Abstract algebra is useful because it provides another way to look at the same problems of classical algebra. That could always provide different insights to the same problems. But abstract or classical are all relative terms, after you familiar with the concepts abstract will become concrete too.
Definition of abstract algebra. : a branch of mathematics in which algebraic concepts are generalized by using symbols to represent basic arithmetical operations Abstract algebra courses introduce students to advanced mathematical concepts such as group theory and lattices.