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On the Non-Existence of Injective Near-Ring Modules

Published online by Cambridge University Press:  20 November 2018

Bernhard Banaschewski  and
Evelyn Nelson
Bernhard Banaschewski
Affiliation:
Department of Mathematics McMasterUniversity Hamilton, Ont.CanadaL8S 4K1
Evelyn Nelson
Affiliation:
Department of Mathematics McMasterUniversity Hamilton, Ont.CanadaL8S 4K1
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Associated with any near-ring R, and any set S of distributive elements of R, one has a natural notion of S-distributive R-modules, analogous to that of modules over rings and including the latter as special case (Frohlich [6]; we recall the details in Section 1). Since near-rings can be viewed as slightly deficient rings, it makes sense to enquire whether such near-ring modules share with modules over rings the familiar and important property of having injective hulls.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 17 - 23
Copyright
Copyright © Canadian Mathematical Society 1977

References

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