Strongly prime submodules and strongly 0-dimensional modules

Bilgin Z., Koç S., Özkirişci N. A.

ALGEBRA & DISCRETE MATHEMATICS, vol.28, no.2, pp.171-183, 2019 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 2
  • Publication Date: 2019
  • Journal Name: ALGEBRA & DISCRETE MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index, Scopus
  • Page Numbers: pp.171-183
  • Keywords: strongly prime submodule, strongly 0-dimensional module, multiplication module, quasi-Zariski topology

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.