The Stanley Conjecture on Intersections of Four Monomial Prime Ideals

Author： Popescu Dorin  

Publisher： Taylor & Francis Ltd

ISSN： 0092-7872

Source： Communications in Algebra, Vol.41, Iss.11, 2013-11, pp. : 4351-4362

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Abstract

We show that the Stanley's Conjecture holds for an intersection of four monomial prime ideals of a polynomial algebra S over a field and for an arbitrary intersection of monomial prime ideals (P i ) i∈[S] of S such that each P i is not contained in the sum of the other (P j ) j≠i .

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