Geodesic
On Injective MV-Modules
Bulletin of the Section of Logic, Tome 47 (2018) no. 4

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In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective MV-modules. Then we define the notions of essential A-homomorphisms and essential extension of A-homomorphisms, where A is a product MV-algebra, and we get some of there properties. Finally, we prove that a maximal essential extension of any A-ideal of an injective MV-module is an injective A-module, too.
Keywords: (MV, PMV)-algebra, MV-module, injective MV-module, essential extension 
@article{BSL_2018_47_4_a1,
     author = {Borzooei, Rajabali A. and Goraghani, S. Saidi},
     title = {On {Injective} {MV-Modules}},
     journal = {Bulletin of the Section of Logic},
     publisher = {mathdoc},
     volume = {47},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2018_47_4_a1/}
}
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Borzooei, Rajabali A.; Goraghani, S. Saidi. On Injective MV-Modules. Bulletin of the Section of Logic, Tome 47 (2018) no. 4. http://geodesic.mathdoc.fr/item/BSL_2018_47_4_a1/