E-Associative Rings
Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 147-153
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A ring R is E-associative if φ(xy) = φ(x)y for all endomorphisms φ of the additive group of R, and all x,y ∊ R. Unital E-associative rings are E-rings. The structure of the torsion ideal of an E-associative ring is described completely. The E-associative rings with completely decomposable torsion free additive groups are also classified. Conditions under which E-associative rings are E-rings, and other miscellaneous results are obtained.
Feigelstock, Shalom. E-Associative Rings. Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 147-153. doi: 10.4153/CMB-1993-022-4
@article{10_4153_CMB_1993_022_4,
author = {Feigelstock, Shalom},
title = {E-Associative {Rings}},
journal = {Canadian mathematical bulletin},
pages = {147--153},
year = {1993},
volume = {36},
number = {2},
doi = {10.4153/CMB-1993-022-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-022-4/}
}
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