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 />
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>