On the Non-Existence of Injective Near-Ring Modules
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 17-23
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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.
Banaschewski, Bernhard; Nelson, Evelyn. On the Non-Existence of Injective Near-Ring Modules. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 17-23. doi: 10.4153/CMB-1977-003-9
@article{10_4153_CMB_1977_003_9,
author = {Banaschewski, Bernhard and Nelson, Evelyn},
title = {On the {Non-Existence} of {Injective} {Near-Ring} {Modules}},
journal = {Canadian mathematical bulletin},
pages = {17--23},
year = {1977},
volume = {20},
number = {1},
doi = {10.4153/CMB-1977-003-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-003-9/}
}
TY - JOUR AU - Banaschewski, Bernhard AU - Nelson, Evelyn TI - On the Non-Existence of Injective Near-Ring Modules JO - Canadian mathematical bulletin PY - 1977 SP - 17 EP - 23 VL - 20 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-003-9/ DO - 10.4153/CMB-1977-003-9 ID - 10_4153_CMB_1977_003_9 ER -
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