2010/03/17 by Ishaq, Muhammad · 1 citation
#13C14 #13F20 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13H10 #Secondary 13P10
paper · doi:10.48550/arxiv.1003.3471
Let I⊂ J be monomial ideals of a polynomial algebra S over a field. Then the Stanley depth of J/I is smaller or equal with the Stanley depth of √(J)/√(I). We give also an upper bound for the Stanley depth of the intersection of two primary monomial ideals Q, Q', which is reached if Q, Q' are irreducible, ht(Q+Q') is odd and √(Q), √(Q') have no common variable.