Geodesic
Completely Archimedean Semirings
Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 1, pp. 115-129

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In this paper we give a structural description of completely Archimedean semirings which is an extension of the structure theorem of completely Archimedean semigroups.
Keywords: completely simple semiring, completely Archimedean semiring, Rees matrix semiring, nil-extension, bi-ideal 
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Maity, Sunil K.; Chatterjee, Rumpa. Completely Archimedean Semirings. Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 1, pp. 115-129. http://geodesic.mathdoc.fr/item/DMGAA_2018_38_1_a8/