Ring Theory

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Integrating FDWK
By David Bressoud @dbressoud As of 2024, new Launchings columns appear on the third Tuesday of the month. FDWK refers to Ross Finney, Frank Demana, Bert Waits, and Dan Kennedy, the team of authors who for many years and multiple editions updated Calculus: Graphical, Numerical, Algebraic, one of the most popular textbooks for the College Board’s...

There and Back Again: I Worry
When a committee meeting on AI 'best practices' turns into something else entirely, one mathematician learns that two small words might open more doors than any amount of expertise. By Lew Ludwig I was invited to advise a committee tasked with developing "best practices" for AI use at an institution. Before the meeting, I received...
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            Classically Semisimple Rings

            The first eight chapters of this slender (150 pages) book offer a well-written and reader-friendly introduction to some of the more introductory parts of noncommutative ring theory, specifically modules (Noetherian and Artinian, simple and semisimple, projective and injective), the Jacobson radical, the Weddeburn-Artin structure theorem, the Hopkins-Levitzki theorem, and Maschke’s theorem from group representation theory (phrased in terms of the semisimplicity of the group ring). Prerequisites for...