uwloo

MATH 410Ring Theory

Faculty
Mathematics
Last listed
1975–76

No longer offered. It’s in Waterloo’s scanned calendars from 1968–69 to 1975–76; the 1995–96 to 2023–24 calendars are on ucalendar.

Continuation of the theory of rings and modules. ; 2 hours lectures Prerequisite: M329 or M341

As printed in the 1971–72 to 1975–76 calendars, read by OCR; the scanned page is the original.

Check it elsewhere

    In the scanned calendars

    How it read in each calendar from 1968–69 to 1975–76, newest first. The text is OCR of the scanned pages; years whose wording matches are shown once, from the clearest scan. Each year links to its page on uwloo and to that page of the scanned PDF.

    1971–72 to 1975–76 5 calendars

    Continuation of the theory of rings and modules. ; 2 hours lectures Prerequisite: M329 or M341

    1969–70 to 1970–71 2 calendars

    Another title: Rings and Modules, probably a different course under the same number (or a misread scan).

    Projective and injective modules. Baer’s theorem. Types of rings. Fundamental Theorem of Abelian groups. Artin-Wedderburn theorem. Krull-Schmidt Theory. Hilbert’s Theorem. Algebras. Tensor and exterior algebras. Product theory. 2 hours lectures.

    1968–69 1 calendar

    Titled Modules and Ring Theory.

    Rings, Modules, Algebras. Types of Rings and Modules. Ideals, Chain Conditions, Radicals, Semi-simple and simple rings and modules. Wedderburn’s Theorem and its generalizations. Krull-Schmidt decompositions. Local Rings and structure of commutative Noetherian Rings. Types of Algebras and Graded Algebras. Goldie’s Structure Theory. Golad-Shafarevitch Theorem.

    2 hours lectures.