Let $${\mathcal {R}}$$ R be a 2-torsion-free commutative ring with unity, X a locally finite pre-ordered set with a finite number of connected components and $$I(X,{\mathcal {R}})$$ I ( X… Click to show full abstract
Let $${\mathcal {R}}$$ R be a 2-torsion-free commutative ring with unity, X a locally finite pre-ordered set with a finite number of connected components and $$I(X,{\mathcal {R}})$$ I ( X , R ) the incidence algebra of X over $${\mathcal {R}}$$ R . In this paper, we give a sufficient and necessary condition for a commuting map on $$I(X,{\mathcal {R}})$$ I ( X , R ) to be proper.
               
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