Algebra Groups and rings, including Sylow theorems, classifying small groups, finitely generated abelian groups, Jordan-Holder theorem, solvable groups, simplicity of the alternating group, euclidean domains, principal ideal domains, unique factorization domains, noetherian rings, Hilbert basis theorem, Zorn's lemma, and existence of maximal ideals and vector space bases. Must be taken along with MATH 8005. Credit Hours: 3 Prerequisites: MATH 4010/6010 Corequisites: MATH 8005 Semester Offered: Fall Level: Graduate
