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math.AC2010★ 3 cited
Values and bounds of the Stanley depth
Muhammad Ishaq
We give different bounds for the Stanley depth of a monomial ideal of a polynomial algebra over a field . For example we show that the Stanley depth of is less or eq…
math.AC2010★ 5 cited
Lexsegment ideals are sequentially Cohen-Macaulay
Muhammad Ishaq
The associated primes of an arbitrary lexsegment ideal are determined. As application it is shown that is a pretty clean module, therefore, …
math.AC2010★ 3 cited
Upper bounds for the Stanley depth
Muhammad Ishaq
Let be monomial ideals of a polynomial algebra over a field. Then the Stanley depth of is smaller or equal with the Stanley depth of . We…