Polynomial Rings with the Outer Product Property
Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 866-872

Voir la notice de l'article provenant de la source Cambridge University Press

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.
Geramita, A. V. Polynomial Rings with the Outer Product Property. Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 866-872. doi: 10.4153/CJM-1972-086-5
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