Geodesic
Clifford semifields
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 125-135

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It is well known that a semigroup S is a Clifford semigroup if and only if S is a strong semilattice of groups. We have recently extended this important result from semigroups to semirings by showing that a semiring S is a Clifford semiring if and only if S is a strong distributive lattice of skew-rings. In this paper, we introduce the notions of Clifford semidomain and Clifford semifield. Some structure theorems for these semirings are obtained.
Keywords: skew-ring, Clifford semiring, Clifford semidomain, Clifford semifield, Artinian Clifford semiring 
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Sen, Mridul; Maity, Sunil; Shum, Kar-Ping. Clifford semifields. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 125-135. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a8/