Geodesic
Semifields with generator
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 25-33

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The article deals with the theory of semirings and semifields. The definition of semifield's generator is given. It is shown that any semifield is embedded into a semifield with generator. Spectral characteristics of semifield with generator are also given.
Keywords: semifield, kernel of semifield, semifield's generator, irreducible spectrum. 
@article{VUU_2009_3_a2,
     author = {E. M. Vechtomov and A. V. Cheraneva},
     title = {Semifields with generator},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {25--33},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_3_a2/}
}
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E. M. Vechtomov; A. V. Cheraneva. Semifields with generator. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 25-33. http://geodesic.mathdoc.fr/item/VUU_2009_3_a2/