**Solutions**

Algebra Solutions: Hungerford I.1

Algebra Solutions: Hungerford I.2

Algebra Solutions: Hungerford I.3

Algebra Solutions: Hungerford I.4

Algebra Solutions: Hungerford I.5

Algebra Solutions: Hungerford I.6

Algebra Solutions: Hungerford I.8

Algebra Solutions: Hungerford II.1

Algebra Solutions: Hungerford II.2

Algebra Solutions: Hungerford II.4

Algebra Solutions: Hungerford II.5

Algebra Solutions: Hungerford III.1

Algebra Solutions: Hungerford III.2

Algebra Solutions: Hungerford III.3

Algebra Qual Study Problems: 1

Algebra Qual Study Problems: 2

Algebra Qual Study Problems: 3

Algebra Qual Study Problems: 4

Algebra Qual Study Problems: 5

Algebra Qual Study Problems: 6

Category Theory

Category Theory 1

Category Theory 2

Discrete Math

Discrete Math 1

Discrete Math 2: More on Sets

Discrete Math 3: Relations

The Power Set

Discrete Math 4: Properties of relations

Discrete Math 5: Logic

Basic Graph Theory

Graph Theory 1

Graph Theory 2

Graph Theory 3:Paths, Cycles, and Degrees

Graph Theory 4:Euler Paths

Graph Theory 5:Colorable graphs

Infinity

Introducing Infinity

More stuff about infinity

Uncountable Infinity

The Power set

Random

Dividing by Zero

Infinite Primes Proof

Pi

Complex Analysis

Complex Analysis 1

Hi Brandon, I stumble upon your blog while I’m trying to find the dimension of the direct product (instead of the direct sum) of a countable family if R (real numbers) as an R-vector space. I find the it is answered by exercise 4.12 (c) in chapter IV of Hungerford’s book. However, I have been struggling to solve the excerise for a while with no luck. I’m wondering if you could give me a hint on it as you have worked out quite a few problems in Hungerford. Thank you for your time and looking forward to your reply.

Hi,

Unfortunately I am away from my solutions and my copy of Hungerford for a few weeks. I also have not thought about Algebra in a few months, but I will let you know if I think of something.

Brandon

Thanks for responding, I’ll keep thinking too.

Hi Brandon, I found an answer to my question after some googling. I typed up the answer on mathematics stack exchamge here -> http://math.stackexchange.com/a/1577650/298275 You may take a look if you are interested.