### 713 Recommended Exercises

[Chapter.section, pages #exercises.]
• IV.2, 133--4 #1, 2, 4, 5, 6, 7, 8.
• IV.3, 137 #1, 2, 3, 4, 6.
• IV.4, 140--1 #1, 2, 3, 4, 6--8.
• IV.5, 143 #1, 2, 3, and 4. from class.
• IV.6, 146 #1, 2, 3, 4, 5.
• IV.7, 152--3 #1, 2, 3, 4, 5, 6, 7, 10.
• IV.8, 156 #1, 2.
• IV.9, 159 #2, 6, 8.

• V.1, 162 #1, 3, 4, 5, 7, 8.
• V.2, 167 #1, 2, 5, 6--7, 8, 10, 11.
• V.3, 170 #1, 3, 9--10, 13.
• V.4, 172--3 #2, 3, 4, 6.
• V.5, 178 #3, 4, 5, 6, 7--8.
• V.6, 184 #1, 2, 4--5, 8.
• V.7, 192 #1, 2, 4, 6, 7(b), 9.

• IX.1, 296 #1, 2, 4.
• IX.7, 319 #1, 3, 4; 2 is specifically unrecommended.
• IX.8, 325--6 #1, 2, 4, 6, 7, 8, 11, 12, 13, 14; 3 is specifically unrecommended.
• IX.9, 328--9 #1, 2, 3, 4, 5, 6, 7, 8.
• IX.10, 330--1 #1, 2, 3, 4, 5.
• IX.11, 333--4 #2, 4, 6, 7 primary; 1, 3, 5 secondary.
• IX.12, 337 #2, 3, 4, 5(a)--(b); 5(c) is specifically unrecommended, 7, and 8.Define a coalgebra.

• XV.1, 500--1 #1, 3, 4, 5, 6, and 10.Determine the monics and epics in the category of positive integers with arrows "divides."
• XV.2, 504 #5, 6, 11.
• XV.3, 506 #2.
• XV.4, 511 #All except possibly #8.(c).
• XV.5, 516 #All except possibly #9.
• XV.6, 520 #1, 3, 4, 5, NB7--8, 10--11, NB12, 13, ?14.