Independent Studies-Mathematics 199A-FALL 2016  NONASSOCIATIVE ALGEBRA  

Fridays 10-10:50 RH340N and 11-11:50 RH440R (syllabus) [the room for the 11-11:50 class is stated incorrectly on the syllabus]

FORUM (Email questions from students and answers) Updated December 11 (click here)

Lectures on Algebras and Triple Systems-Kurt Meyberg, University of Virginia, 1972 (237pp) (click here)

An Introduction to Nonassociative Algebras-R.D.Schafer Massachusetts Institute of Technology 1961 (67pp) Posted November 19 (click here)

First meeting, September 30, 2016. Meyberg Chapter 1 (10pp), Exercises 1-6 (click here)

First meeting, September 30, 2016. Transfer Seminar, First three meetings, Exercises 1-7 (click here)

Exercises 1-7 from Transfer Seminar (click here)

Second meeting October 7, 2016. Meyberg Chapter 1 Exercises 1-3-SOLUTIONS (click here)

Third meeting October 14, 2016. Meyberg Chapter 1 Exercises 4-6-SOLUTIONS (click here)

Third meeting October 14, 2016. Transfer Seminar Exercises 1-7-SOLUTIONS (click here)

Third meeting October 14, 2016. Solvable Radical (informal notes: Meyberg pages 5-6)(click here)

Third meeting October 14, 2016. Nilradical (informal notes: Meyberg pages 6-7) (click here)

Fourth meeting October 21, 2016. Meyberg Chapter 2 pages 10-15 (includes Exercises 1-4) (click here)

Fourth meeting October 21, 2016. Meyberg Chapter 2 Quasi invertibility and the Jacobson Radical (informal notes pp 10-15) (click here)

Fifth meeting October 28, 2016. Meyberg Chapter 2 pages 16-21 (includes Exercises 5-6---posted Oct 22) (click here)

Fifth meeting October 28, 2016. Meyberg Chapter 2 Peirce decomposition and A-modules (informal notes pp 16-21---posted October 25) (click here)

Sixth meeting November 4, 2016. Meyberg Chapter 3 pages 21-25 (includes Exercises 1-4---posted Nov 1) (click here)

Sixth meeting November 4, 2016. Meyberg Chapter 3 Triple systems: solvable and nil radicals (informal notes pp 21-25---posted November 3) (click here)

There are no meetings on November 11 and 25.

Seventh meeting November 18, 2016. Meyberg Chapter 4 pages 25-27 (includes Exercise 1---posted Nov 1) (click here)

Seventh meeting November 18, 2016. Meyberg Chapter Associative Triple systems: Theorem 1, page 27---Embedding an associative triple system of the first kind into an associative algebra (informal notes pp 25-27---posted November 17) (click here)

"FINAL EXAM" PROBLEMS-Part 1 #1-10, Part 2 #11-20, Part 3 #21-23. You can choose any 10 of these 23 problems to hand in by December 9 (or later if you need more time) for credit in the course (PROBLEM 5 corrected December 11) (click here)

Eighth meeting December 2, 2016. Meyberg Chapter 4 pages 28-31 (includes Exercises 2-4---posted Nov 1. (click here)

Update December 4 for Eighth meeting December 2, 2016. Theorem 2 (=Exercise 4) on page 30 was included in the "final exam problems" as #22 and 23)