On the existence of homogeneous semi-regular sequences in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">[</mml:mo><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>.</mml:mo><mml:mo>,</mml:mo><mml:msub>

Hodges, Timothy J.; Molina, Sergio; Schlather, Jacob

doi:10.1016/j.jalgebra.2016.11.025

Cited by 6 publications

(3 citation statements)

References 3 publications

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“…We will adopt the usual notation for graded algebras and ideals, that is S = ⊕ j ≥0 S j and for an ideal I < S generated by homogeneous elements I = ⊕ j ≥0 I j . Now, according to Bardet [3], Bardet et al [5,6], Diem [7] and Hodge et al [12] such a system f 1 , . .…”

Section: Semi-regular Sequences and Krawtchouk Polynomialsmentioning

confidence: 99%

“…Recall that we are interested in the smallest integer k ≤ 2m − n that satisfies (12). Hence, under the non-negativity condition (13) we have…”

Section: Upper Bound On the Regularity Following Levenshtein And Szegőmentioning

confidence: 99%

“…12 (1 + z)24 = 36 k =0 K 36 k (12) • z k . The plot shows that K 36 4 , K 36 5 , K 36 6 evaluate negative at 12 whereas K 36 3 (12) is positive.…”

mentioning

confidence: 99%

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