I have no idea whether the following is to be expected:

sage: P = PolynomialRing(GF(2), "z", sparse=False); Q = PolynomialRing(ZZ, 
"z") 
sage: P.has_coerce_map_from(Q) 
True 

sage: P = PolynomialRing(GF(2), "z", sparse=True); Q = PolynomialRing(ZZ, 
"z")      
sage: P.has_coerce_map_from(Q) 
False

Martin

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