This was a cross post, but I didn't realize the original discuss wouldn't 
be included. The discussion is at

https://groups.google.com/forum/?fromgroups=#!topic/sage-support/Ar7z2b5cOic

and, at its simplest, is that 

R.<y1,y2>=PolynomialRing(Qp(5) ,2, order='lex')
G=[y1^2 + y2^2, y1*y2 + y2^2, y2^3]
(y2^3).reduce(G)

returns an `int`

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