SKEW POLYNOMIALS AND ALGEBRAIC REFLEXIVITY
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 7-9
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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.
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
@article{10_1017_S0017089502008935,
author = {SNASHALL, NICOLE and WATTERS, J. F.},
title = {SKEW {POLYNOMIALS} {AND} {ALGEBRAIC} {REFLEXIVITY}},
journal = {Glasgow mathematical journal},
pages = {7--9},
year = {2003},
volume = {45},
number = {1},
doi = {10.1017/S0017089502008935},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502008935/}
}
TY - JOUR AU - SNASHALL, NICOLE AU - WATTERS, J. F. TI - SKEW POLYNOMIALS AND ALGEBRAIC REFLEXIVITY JO - Glasgow mathematical journal PY - 2003 SP - 7 EP - 9 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089502008935/ DO - 10.1017/S0017089502008935 ID - 10_1017_S0017089502008935 ER -
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