- p.133 #1
- p.137 #4
BONUS p.133 #3 and p.137 #1
- p.140 #1
- Consider the set N of all positive integers. Define a morphism
from m to n if and only if m divides
n . Show that this provides the structure of a (non-concrete)
category on the positive integers.
- p.146 #4
- p.153 #3
- Prove that a lattice is a category in which any two objects have at
most one arrow between them and which has products and coproducts.
- p.162 #5
- Prove Thm.3 p.166.
- p.167 #6
BONUS p.167 #7
- p.178 #4
- p.184 #2
- p.192 #1
- p.192 #4
- p.325 #1
- p.325 #6
BONUS Prove Prop.18 p.324 for f.g. free modules.
- p.333 #2
- p.334 #6
- p.337 #4
- p.337 #7
- Determine the monics and epics in the category N of Assignment
3.
- p.500 #4
- p.516 #4--5
These last three are due Mon 14 May by 4:30 pm
From the handout:
- p.1 #1, 2, 4; extra credit for 3 or 5.
- p.2 #1, 3, 5; extra credit for 4.
- p.3 #3, 4, 5; extra credit for 6.