Geodesic
\(L\)-Modules
Bulletin of the Section of Logic, Tome 53 (2024) no. 1, pp. 125-144.

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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.
Keywords: \(L\)-algebra, \(L\)-module, \(L\)-submodule, prime \(L\)-submodule 
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Saidi Goraghani, Simin; Borzooei, Rajab Ali. \(L\)-Modules. Bulletin of the Section of Logic, Tome 53 (2024) no. 1, pp. 125-144. http://geodesic.mathdoc.fr/item/BSL_2024_53_1_a4/

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