Flat modules and the behavior of a standard basis relative to an extension of the ground ring

Golod, E.
August 2012
Journal of Mathematical Sciences;Aug2012, Vol. 185 Issue 2, p221
Academic Journal
The property of a generating set of a polynomial ideal or of an ideal of a free associative algebra over a commutative ring to be its Gröbner basis is kept by a flat (but not any) extension of the ground ring. The converse is proved in the broader context of standard bases for filtered modules.


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