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All of those are typically in a single undergraduate course on abstract algebra. Depending on the specific course you might only touch on Galois theory and modu
by throwawaymath 8y ago
All of those are typically in a single undergraduate course on abstract algebra. Depending on the specific course you might only touch on Galois theory and modules, but you'll definitely get exposure to both. Most undergraduate textbooks will have a chapter/section devoted to each of those topics.
- omegaham 8y agoIs this going by the quarter system or a semester system? I can't imagine doing groups, rings, and fields in a single quarter with significant rigor. That would suck.
- throwawaymath 8y agoSemester system. The first half of the semester would be groups and rings.
- xyzzyz 8y agoI haven't yet seen an algebra class that would start from scratch, define groups and rings for the first time, and do commutative algebra with modules, and fields with Galois theory in a single semester. Usually these take around 2 semesters.