Math 1100 - Algebra (Fall 2021)

Ila Varma

Homework 2
due 10/21/21 at 6pm

Pg. 78 of [J], Problem 2

Pg. 78 of [J], Problem 6

Pg. 82 of [J], Problem 4

Pg. 89 of [J], Problem 3

Pg. 89 of [J], Problem 4

Optional Problems (Recommended)

Let R be the ring of 2x2 matrices of the form $\begin{pmatrix} a & b \\ 0 & 0 \end{pmatrix}$ where a,b $∊ ℝ.Show that although R is a
ring without identity, we can find a subring S of
R with an identity$

$≅$

The sections and problems above refer to the course textbooks. In particular, [J] refers to Jacobson.

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