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Showing 1 to 11 of 11 for “"Syzygy"”.
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Gröbner Bases and Syzygy Modules
… Gröbner bases, Buchberger's algorithm, and syzygy modules. Specially, we present several equivalent definitions for Gröbner bases and prove how to compute a Gröbner basis for an ideal I of A = k[x1, x2, • • • , xn] generated by {fl, f2, • • • , f8} through Buchberger's algorithm. As an …
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Syzygy Decompositions and Projective Resolutions
… is related to decompositions of the first syzygy module of 𝛬 as an 𝛬<SUP>𝑒</SUP> module. Resolutions of right 𝛬 modules 𝑀<SUB>𝛬</SUB> may be obtained by tensoring 𝑀 over 𝛬 with this bimodule resoution. We describe how to obtain such a resolution when 𝑀 is simple or when 𝑀 is given in the …
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The syzygy theorem and the weak Lefschetz Property
… solve some relevant cases of the Evans-Griffith syzygy conjecture in the case of (regular) local rings of unramif ed mixed characteristic p, with the case of syzygies of prime ideals of Cohen-Macaulay local rings of unramified mixed characteristic being noted. We reduce the remaining …
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On extending Scott modules
… some considerations about the second relative syzygy with respect to a subgroup Q for a certain class of p-groups P.
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Theatre of the contact zone : a quest for a means to nurse split psychic spaces in public spheres through the transformation of dramatic texts into performance texts
… experiment was through a play called An African Syzygy which I wrote and was directed by Sanjin Muftic (a fellow postgraduate student whose orientation in theatre studies is directing).
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Syzygies and implicitization of tensor product surfaces
… without basepoints, the existence of a linear syzygy imposes strong conditions on the structure of the syzygies that determine the implicit equation. For tensor product surfaces with basepoints we show that the syzygies that determine the implicit equation of λ are closely related to the …
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Complexity over Finite-Dimensional Algebras
… k is an algebraically closed field and Ω is the syzygy operator. More precisely, let T be the trivial extension of an iterated tilted algebra of type H. We prove that modules over the trivial extension T all have complexities either 0, 1, 2 or infinity, depending on the representation type of the …
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Macaulay Bases of Modules
… bases, including elimination and computation of syzygy modules, which require the generalization to modules that was not present in previous work.
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Scottish television comedy audiences
… myths (Tartanry, Kailyardism, Caledonian anti-syzygy, Clydesidism) and sets these against contemporary mythologising by individual Scottish comedy practitioners. The second half of the thesis marks a shift from textual studies toward audience research, and in particular develops a discussion …
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Projective Resolutions of Generic Order Ideals
… n}$ is the generic order ideal of the second syzygy M of the Koszul complex resolution of $\doubz$ (Y$\sb1,\dots$,Y$\sb{\rm n}$) /(Y$\sb1,\dots$,Y$\sb{\rm n}$) for n $\geq$ 3, and is the ideal of relations of Sym$\sb{\doubz\lbrack\rm Y\sb1,\dots,Y\sb{n}\rbrack}(\Lambda\sp{\rm n-2}(\doubz$ …
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Resolutions mod I, Golod pairs
… Ω<sup>n</sup><sub>R/I</sub>R/I(M) is the nth syzygy of the constructed <i>R/ I</i> -projective resolution of <i>M</i>. We show that the converse of the last theorem is not true and if (Ω¹<sub>R/I</sub>R/I(M),I) is a Golod pair over <i>R</i> then we give a necessary and sufficient condition for …