Annihilators and finitely generated modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 79-82
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We prove that $B + \mathrm{Ann}\, M = \mathrm{Ann}\, (M/MB)$ for every finitely generated right module $M$ over a strongly regular ring $A$ and every ideal $B$ of the ring $A$.
@article{FPM_2016_21_1_a6,
author = {E. S. Golod and A. A. Tuganbaev},
title = {Annihilators and finitely generated modules},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {79--82},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a6/}
}
E. S. Golod; A. A. Tuganbaev. Annihilators and finitely generated modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 79-82. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a6/