\(L\)-Modules

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Bulletin of the Section of Logic 53 (1):125-144 (2024)
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Abstract

In this paper, considering \(L\)-algebras, which include a significant number of other algebraic structures, we present a definition of modules on \(L\)-algebras (\(L\)-modules). Then we provide some examples and obtain some results on \(L\)-modules. Also, we present definitions of prime ideals of \(L\)-algebras and \(L\)-submodules (prime \(L\)-submodules) of \(L\)-modules, and investigate the relationship between them. Finally, by proving a number of theorems, we provide some conditions for having prime \(L\)-submodules.

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10.18778/0138-0680.2023.27

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On Injective MV-Modules.Rajabali A. Borzooei & S. Saidi Goraghani - 2018 - Bulletin of the Section of Logic 47 (4):283-298.

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