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Computer Algebra
Finite Field
Graded Algebra
Graded Ring
1 dimensional
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COMPUTING HILBERTKUNZ FUNCTIONS OF 1DIMENSIONAL GRADED RINGS
COMPUTING HILBERTKUNZ FUNCTIONS OF 1DIMENSIONAL GRADED RINGS,MARTIN KREUZER
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COMPUTING HILBERTKUNZ FUNCTIONS OF 1DIMENSIONAL GRADED RINGS
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Citations: 1
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MARTIN KREUZER
According to a theorem of Monsky, the HilbertKunz function of a 1dimensional standard
graded algebra
R over a
finite field
K has, for i ¿ 0, the shape HKR(i) = c(R)¢p i+'(i) where c(R) is the multiplicity of R and ' is a periodic function. Here we study explicit
computer algebra
algorithms for computing such HilbertKunz functions: the period length and the values of ', as well as a concrete number N ‚ 0 such that the description above holds for i ‚ N.
Published in 2007.
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emis.maths.adelaide.edu.au
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References
(5)
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(
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M. Kreuzer
,
L. Robbiano
Published in 2005.
Characterizations of regular local rings of characteristic p
(
Citations: 96
)
E. Kunz
Published in 1969.
On Noetherian rings of characteristic p
(
Citations: 51
)
E. Kunz
Published in 1976.
On the canonical module of a 0dimensional scheme
(
Citations: 13
)
M. Kreuzer
Published in 2000.
The HilbertKunz function
(
Citations: 66
)
P. Monsky
Journal:
Mathematische Annalen  MATH ANN
, vol. 263, no. 1, pp. 4349, 1983
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(1)
Multiplication matrices and ideals of projective dimension zero
(
Citations: 1
)
Samuel Lundqvist
Published in 2009.