Listar por autoría "e99b63b8-7955-4235-8cd0-a5da2c586dfe"
Mostrando ítems 1-4 de 4
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LCM Lattices and Stanley Depth: A First Computational Approach
Taylor & Francis (2015-10)Let K be a field, and let S D K [X1, . . . ,Xn] be the polynomial ring. Let / be a monomial ideal of S with up to 5 generators. In this paper, we present a computational experiment which allows us to prove that depthS ... -
Stanley depth and the lcm-lattice
Elsevier (2017-08)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 of monomial ideals , both invariants behave monotonic with ...
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The behavior of Stanley depth under polarization
Elsevier (2015-10)Let K be a field, R = K [ X 1 , ..., X n ]be the polynomial ring and J I be two monomial ideals in R . In this paper we show that sdepth I/J − depth I/J = sdepth I p /J p − ...
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Which series are Hilbert series of graded modules over standard multigraded polynomial rings?
Wiley (2020)Consider a polynomial ring 𝑅� with the ℤ𝑛�-grading where the degree of each variableis a standard basis vector. In other words, 𝑅� is the homogeneous coordinate ring ofa product of 𝑛� projective spaces. In this setting, ...
