Strongly prime submodules and strongly 0-dimensional modules

Zehra Bilgin, Suat Koç, Ayşen Özkirişci

Abstract


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, multiplication module, quasi-Zariski topology

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