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A necessary and sufficient condition for membership in [๐‘ข๐‘ฃ]

A necessary and sufficient condition for membership in [๐‘ข๐‘ฃ]

Levi has obtained [1] for [yP] and [uv] sufficiency conditions for membership of a power product in the ideal, which tests membership, in certain cases, by a calculation using only the weight and degree of the pp. In this paper we show Levi's conditions for [uv] are necessary as well โ€ฆ