Results 11 to 20 of about 11,820 (207)
Depth and Stanley Depth of Multigraded Modules [PDF]
Communications in Algebra, 2010 We study the behavior of depth and Stanley depth along short exact sequences of multigraded modules and under reduction modulo an element.
Asia Rauf
openaire +4 more sources
Upper Bounds for the Stanley Depth [PDF]
Communications in Algebra, 2012 Let $I\subset J$ 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 $\sqrt{J}/\sqrt{I}$. 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 ...
Muhammad Ishaq
openaire +4 more sources
Journal of Algebra, 2010 Let $Q$ and $Q'$ be two monomial primary ideals of a polynomial algebra $S$ over a field. We give an upper bound for the Stanley depth of $S/(Q\cap Q')$ which is reached if $Q$,$Q'$ are irreducible. Also we show that Stanley's Conjecture holds for $Q_1\cap Q_2$, $S/(Q_1\cap Q_2\cap Q_3)$, $(Q_i)_i$ being some irreducible monomial ideals of $S$.
Popescu, Dorin, Qureshi, Muhammad Imran
openaire +4 more sources
Interval partitions and Stanley depth
Journal of Combinatorial Theory, Series A, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biró, Csaba +4 more
openaire +3 more sources
Stanley depth and the lcm-lattice
Journal of Combinatorial Theory, Series A, 2017 In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients $I/J$ of monomial ideals $J\subset I$, both invariants behave monotonic with respect to certain maps defined on their lcm-lattice. This allows simple and uniform proofs of many new and known
Bogdan Ichim +2 more
openaire +6 more sources
Stanley Depth of Edge Ideals of Some Wheel-Related Graphs
Mathematics, 2019 Stanley depth is a geometric invariant of the module and is related to an algebraic invariant called depth of the module. We compute Stanley depth of the quotient of edge ideals associated with some familiar families of wheel-related graphs.
Jia-Bao Liu +4 more
doaj +3 more sources
Stanley depth of multigraded modules
Journal of Algebra, 2009 The Stanley's Conjecture on Cohen-Macaulay multigraded modules is studied especially in dimension 2. In codimension 2 similar results were obtained by Herzog, Soleyman-Jahan and Yassemi. As a consequence of our results Stanley's Conjecture holds in 5 variables.
openaire +4 more sources
The behavior of Stanley depth under polarization
Journal of Combinatorial Theory, Series A, 2015 Version 2: several proofs were clarified and a minor result was added.
Ichim, Bogdan +2 more
openaire +5 more sources
Stanley Depth of Quotient of Monomial Complete Intersection Ideals [PDF]
Communications in Algebra, 2014 We compute the Stanley depth for a particular, but important case, of the quotient of complete intersection monomial ideals. Also, in the general case, we give sharp bounds for the Stanley depth of a quotient of complete intersection monomial ideals. In particular, we prove the Stanley conjecture for quotients of complete intersection monomial ideals.
openaire +4 more sources
Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters [PDF]
Journal of Commutative Algebra, 2015 12 pages.
Yi-Huang Shen
openaire +6 more sources