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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 />

Polynomials<br />

Definition - Skew Laurent Polynomials<br />

Let R be a ring and let σ : R → R be a ring isomorphism.<br />

A skew Laurent polynomial is a polynomial which allows negative<br />

exponents for <strong>the</strong> indeterminate x and with <strong>the</strong> relation that<br />

xr = σ(r)x, ∀r ∈ R.<br />

Andrew Misseldine <strong>Stably</strong> <strong>Free</strong> <strong>Modules</strong> <strong>over</strong> <strong>the</strong> <strong>Klein</strong> <strong>Bottle</strong>

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