Should You Memorize All Theorems in Abstract Algebra?

[alyafey22]

I am reading at the moment about abstract algebra. It is a very interesting field. I was amazed by the number of examples, applications and related concepts. Never seen something similar in any other mathematical field. I saw lots and lots of theorems and I was wondering whether I should remember all of them. I can prove and understand most of them and define most of the concepts involved but my concern is whether I should be able to recall all of these stuff ?

PS : how did you learn about abstract algebra and what is the best approach to master it ?

 

[Ackbach]

For starters, I recommend Herstein's Abstract Algebra. Dummit and Foote is a very common graduate-level text.

 

[alyafey22]

For starters, I recommend Herstein's Abstract Algebra. Dummit and Foote is a very common graduate-level text.

Thanks for the suggestions. I read a little from A first course in abstract algebra by Fraleigh and A book in abstract algebra by Printer . I am currently reading Contemproary abstract algebra by Gallian.