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Classical and Weakly Prime L-Submodules

  • Razieh Mahjoob
  • Shaheen Qiami
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 179)

Abstract

Most of problems in biology, economics, ecology, engineering, environmental science, medical science, social science etc. have various uncertainties. Fuzzy set theory, rough set theory, vague set theory, interval mathematics probability, soft set theory are different ways of expressing uncertainty. Let L be a complete lattice. We introduce and characterize classical prime and weakly prime L-submodules of a unitary module over a commutative ring with identity. Also, we topologize Cl.L-Spec(M), the collection of all classical prime L- submodules of M, and investigate the properties of this topological space.

Keywords

L-submodule Weakly prime L-submodule Classical prime L-submodule Zariski like-topology 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Mathematics, Statistics and Computer Sciences, Department of MathematicsSemnan UniversitySemnanIran

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