SKEW POLYNOMIALS AND ALGEBRAIC REFLEXIVITY
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 7-9

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DOI

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.
DOI : 10.1017/S0017089502008935
Mots-clés : Primary 16D20, 16S36
SNASHALL, NICOLE; WATTERS, J. F. SKEW POLYNOMIALS AND ALGEBRAIC REFLEXIVITY. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 7-9. doi: 10.1017/S0017089502008935
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