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Polynomial Rings with the Outer Product Property

Published online by Cambridge University Press:  20 November 2018

A. V. Geramita
A. V. Geramita*
Affiliation:
Queen's University, Kingston, Ontario
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In [3] Lissner defined a class of rings called outer product rings, (OP-rings). These are commutative rings R with identity for which every exterior vector is decomposable, i.e., with .

If we look only at those vectors whose co-ordinates with respect to any basis of generate the unit ideal in R and consider those rings R for which all vectors of this type are decomposable, we obtain the class of rings which have been referred to as Her mite-rings (H-rings, see also Lissner [3]). This class of H-rings evidently contains the class of OP-rings.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 5 , October 1972 , pp. 866 - 872
Copyright
Copyright © Canadian Mathematical Society 1972

References

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