Strongly prime submodules and strongly 0-dimensional modules
Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 171-183
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In this work, we study strongly prime submodules and strongly 0-dimensional modules. We give some equivalent conditions for being a strongly 0-dimensional module. Besides we show that the quasi-Zariski topology on the spectrum of a strongly 0-dimensional module satisfies all separation axioms and it is a metrizable space.
Keywords:
strongly prime submodule, strongly 0-dimensional module, quasi-Zariski topology.
Mots-clés : multiplication module
Mots-clés : multiplication module
@article{ADM_2019_28_2_a2,
author = {Z. Bilgin and S. Ko\c{c} and A. \"Ozkiri\c{s}ci},
title = {Strongly prime submodules and strongly 0-dimensional modules},
journal = {Algebra and discrete mathematics},
pages = {171--183},
publisher = {mathdoc},
volume = {28},
number = {2},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a2/}
}
TY - JOUR AU - Z. Bilgin AU - S. Koç AU - A. Özkirişci TI - Strongly prime submodules and strongly 0-dimensional modules JO - Algebra and discrete mathematics PY - 2019 SP - 171 EP - 183 VL - 28 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a2/ LA - en ID - ADM_2019_28_2_a2 ER -
Z. Bilgin; S. Koç; A. Özkirişci. Strongly prime submodules and strongly 0-dimensional modules. Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 171-183. http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a2/