Stably Free Modules over the Klein Bottle
Stably Free Modules over the Klein Bottle
Stably Free Modules over the Klein Bottle
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Introduction<br />
Constructing a <strong>Stably</strong> <strong>Free</strong> Module<br />
Applications to <strong>the</strong> <strong>Klein</strong> <strong>Bottle</strong><br />
Infinitely Many <strong>Stably</strong> <strong>Free</strong> ZG-modules<br />
Let<br />
with n = 0 and<br />
Define<br />
rn = 1 + ny + ny 3<br />
sn = 1 + ny −1 + ny −3 .<br />
Kn = (rn) ∩ (x + sn) .<br />
Andrew Misseldine <strong>Stably</strong> <strong>Free</strong> <strong>Modules</strong> <strong>over</strong> <strong>the</strong> <strong>Klein</strong> <strong>Bottle</strong>