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SKEW POLYNOMIALS AND ALGEBRAIC REFLEXIVITY
NICOLE SNASHALL, J. F. WATTERS
Journal:

Glasgow Mathematical Journal / Volume 45 / Issue 1 / January 2003

Published online by Cambridge University Press:

01 May 2003, pp. 7-9

Print publication:

January 2003
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For an arbitrary $K$-algebra $R$, an $R$, $K$-bimodule $M$ is algebraically reflexive if the only $K$-endomorphisms of $M$ leaving invariant every $R$-submodule of $M$ are the scalar multiplications by elements of $R$. Hadwin has shown for an infinite field $K$ and $R = K[x]$ that $R$ is reflexive as an $R$, $K$-bimodule. This paper provides a generalisation by giving a skew polynomial version of his result.