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Models and Theories in Social Systems pp 553–576Cite as

Classical and Weakly Prime L-Submodules

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Part of the book series: Studies in Systems, Decision and Control ((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.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, Statistics and Computer Sciences, Department of Mathematics, Semnan University, Semnan, Iran

    Razieh Mahjoob & Shaheen Qiami

Authors
  1. Razieh Mahjoob
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  2. Shaheen Qiami
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Correspondence to Razieh Mahjoob .

Editor information

Editors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University of Constanţa, Constanţa, Romania

    Cristina Flaut

  2. Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic

    Šárka Hošková-Mayerová

  3. Faculty of History and Political Science, Ovidius University of Constanţa, Constanţa, Romania

    Daniel Flaut

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Mahjoob, R., Qiami, S. (2019). Classical and Weakly Prime L-Submodules. In: Flaut, C., Hošková-Mayerová, Š., Flaut, D. (eds) Models and Theories in Social Systems. Studies in Systems, Decision and Control, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-00084-4_29

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