For next term, I was wondering if I should take a course in non-commutative algebra. As of now, I'm focusing on mathematical physics, specifically on the mathematical side of string theory; mirror symmetry and field theories. I know that commutative algebra as well as algebraic geometry are definitely essential to my interests, but I'm not sure if non-commutative algebra shows up a lot. The course mainly covers semisimple rings and modules, module categories and Morita theory, Noetherian rings, basic dimension theory, and projective modules as an introduction to algebraic k-theory. So would these topics be vital to my interests? Thanks!