Geodesic
Semirings embedded in a completely regular semiring
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 43 (2004) no. 1, pp. 143-148.

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Recently, we have shown that a semiring $S$ is completely regular if and only if $ S$ is a union of skew-rings. In this paper we show that a semiring $S$ satisfying $a^2=na$ can be embedded in a completely regular semiring if and only if $S$ is additive separative.
Classification : 16A78, 16E50, 16Y60, 20M07, 20M10
Keywords: completely regular semiring; skew-ring; b-lattice; archimedean semiring; additive separative semiring 
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Sen, M. K.; Maity, S. K. Semirings embedded in a completely regular semiring. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 43 (2004) no. 1, pp. 143-148. http://geodesic.mathdoc.fr/item/AUPO_2004__43_1_a14/