Geodesic
Representations of semimodules by sections of sheaves
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 2, pp. 195-204

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The aim of the paper is to study the conditions on the subsemimodule $A_S$ of the semimodule $\Gamma(P)$ of all global sections of a sheaf $P$ implying $A_S=\Gamma(P)$. Some applications of the developed construction are shown: namely, the Lambek representations for semimodules over strongly harmonic and reduced Rickart semirings as well as Pierce representations for semimodules over arbitrary semirings were proved to be isomorphic. 
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     author = {V. V. Chermnykh},
     title = {Representations of semimodules by sections of sheaves},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {195--204},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_2_a8/}
}
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V. V. Chermnykh. Representations of semimodules by sections of sheaves. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 2, pp. 195-204. http://geodesic.mathdoc.fr/item/FPM_2007_13_2_a8/