Commuting Regular Γ-Semiring Year: 2010 Volume: 4 Issue: 8 1097 - 1099 Pages Authors: S.Krishnamoorthy R.Arul Doss Abstract: We introduce the notion of commuting regular Γ- semiring and discuss some properties of commuting regular Γ- semiring. We also obtain a necessary and sufficient condition for Γ-semiring to possess commuting regularity. Keywords: Commutative Γ-semiring Idempotent Γ-semiring Rectangular Γ-band Commuting regular Γ-semiring Clifford Γ-semiring.