Centrally essential rings
Diskretnaya Matematika, Tome 30 (2018) no. 2, pp. 55-61
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A centrally essential ring is a ring which is an essential extension of its center (we consider the ring as a module over its center). We give several examples of noncommutative centrally essential rings and describe some properties of centrally essential rings.
Keywords:
centrally essential ring, center of the ring, semiprime ring, semiperfect ring.
@article{DM_2018_30_2_a4,
author = {V. T. Markov and A. A. Tuganbaev},
title = {Centrally essential rings},
journal = {Diskretnaya Matematika},
pages = {55--61},
publisher = {mathdoc},
volume = {30},
number = {2},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2018_30_2_a4/}
}
V. T. Markov; A. A. Tuganbaev. Centrally essential rings. Diskretnaya Matematika, Tome 30 (2018) no. 2, pp. 55-61. http://geodesic.mathdoc.fr/item/DM_2018_30_2_a4/