Can a Semi-Prime Ring be a Finite Union of Right Annihilators?
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 126-128
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The interesting question of the title was posed by J. Bergen and this note answers it in the negative. The main result characterizes rings which can be a finite union of proper right annihilators, and shows that any such commutative ring must have a total annihilator.
Lanski, Charles. Can a Semi-Prime Ring be a Finite Union of Right Annihilators?. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 126-128. doi: 10.4153/CMB-1990-021-0
@article{10_4153_CMB_1990_021_0,
author = {Lanski, Charles},
title = {Can a {Semi-Prime} {Ring} be a {Finite} {Union} of {Right} {Annihilators?}},
journal = {Canadian mathematical bulletin},
pages = {126--128},
year = {1990},
volume = {33},
number = {1},
doi = {10.4153/CMB-1990-021-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-021-0/}
}
TY - JOUR AU - Lanski, Charles TI - Can a Semi-Prime Ring be a Finite Union of Right Annihilators? JO - Canadian mathematical bulletin PY - 1990 SP - 126 EP - 128 VL - 33 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-021-0/ DO - 10.4153/CMB-1990-021-0 ID - 10_4153_CMB_1990_021_0 ER -
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