Výsledky vyhledávání - "Liam O'Carroll"

On the integral degree of integral ring extensions

Autor: Francesc Planas-Vilanova, Bernat Plans, Liam O'Carroll, José M. Giral

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Let A ⊂ B be an integral ring extension of integral domains with fields of fractions K and L, respectively. The integral degree of A ⊂ B, denoted by dA(B), is defined as the supremum of the degrees of minimal integral equations of elements of B o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55301f5ad5539ac4e70d260c098dc37d
https://hdl.handle.net/2117/127519

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Minimal free resolutions of lattice ideals of digraphs

Autor: Francesc Planas-Vilanova, Liam O'Carroll

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Based upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and a refined algorithm by Er\"ocal, Motsak, Schreyer and Steenpa{\ss} for computing syzygies, we display a free resolution of the lattice ideal associate

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::227030916f077387be227a0df876945b
https://hdl.handle.net/2117/127012

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David Rees 1918–2013

Autor: Sarah Rees, Liam O'Carroll, Mark V. Lawson

Publikováno v: Semigroup Forum. 88:513-522

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a246d02cc35c30a6c6443e7b36c1d327
https://doi.org/10.1007/s00233-014-9595-y

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Degree and Algebraic Properties of Lattice and Matrix Ideals

Autor: Francesc Planas-Vilanova, Liam O'Carroll, Rafael H. Villarreal

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I

We study the degree of non-homogeneous lattice ideals over arbitrary fields, and give formulae to compute the degree in terms of the torsion of certain factor groups of Z^s and in terms of relative volumes of lattice polytopes. We also study primary

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a804a15823a1565cab308cf3c5276f2f
https://doi.org/10.1137/130922094

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Ideals of Herzog–Northcott type

Autor: Francesc Planas-Vilanova, Liam O'Carroll

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

This paper takes a new look at ideals generated by 2×2 minors of 2×3 matrices whose entries are powers of three elements not necessarily forming a regular sequence. A special case of this is the ideals determining monomial curves in three-dimension

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::547436e752f495e33ed7f388b4fe7e1e
https://doi.org/10.1017/s0013091509001321

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On the symmetry of Welch- and Golomb-constructed Costas arrays

Autor: Konstantinos Drakakis, Liam O'Carroll, Rod Gow

Publikováno v: Discrete Mathematics. 309(8):2559-2563

We prove that Welch Costas arrays are in general not symmetric and that there exist two special families of symmetric Golomb Costas arrays: one is the well-known Lempel family, while the other, although less well known, leads actually to the construc

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Noncomplete intersection prime ideals in dimension 3

Autor: Francesc Planas-Vilanova, Liam O'Carroll, Shiro Goto

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Kyoto J. Math. 55, no. 2 (2015), 461-475
Recercat. Dipósit de la Recerca de Catalunya
instname

We describe prime ideals of height 2 minimally generated by 3 elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a long-standing problem of J. Sall

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::106091703a81163dd381b2e38bcd0004
http://hdl.handle.net/2117/78400

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AUSLANDER–BUCHWEITZ APPROXIMATIONS OF EQUIVARIANT MODULES (London Mathematical Society Lecture Note Series 282) By MITSUYASU HASHIMOTO: 281 pp., £27.95 (LMS members' price £20.96), ISBN 0-521-79696-2 (Cambridge University Press, 2000)

Autor: Liam O'Carroll

Publikováno v: Bulletin of the London Mathematical Society. 33:758-768

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6e59a220e9a51f4f04ab3764c41d8191
https://doi.org/10.1112/s002460930124884x

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CLASSICAL INVARIANT THEORY (London Mathematical Society Student Texts 44) By PETER J. OLVER: 280 pp., £15.95 (LMS members' price £11.96), ISBN 0-521-55821-2 (Cambridge University Press, 1999)

Autor: Liam O'Carroll

Publikováno v: Bulletin of the London Mathematical Society. 33:631-640

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b0498a9466474866de6470ece1728eee
https://doi.org/10.1112/s0024609301258536

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On a theorem of Knörrer concerning Cohen–Macaulay modules

Autor: Liam O'Carroll, Dorin Popescu

Publikováno v: Journal of Pure and Applied Algebra. 152:293-302

Let K be a field, X = {X 1 ,…, X n } and Y = {Y 1 ,…, Y r } sets of indeterminates, and f ∈ K[[X]], g ∈ K[[Y]] two non-zero formal power series with f ∈ (X),g ∈ (Y) . Set Δ g = (∂g/∂Y i : 1≤i≤r) and suppose that Δ g is a ( Y )-p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7d9e5ec5f9c605edb124c0965bf4a83
https://doi.org/10.1016/s0022-4049(99)00123-1

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