Relevant bibliographies by topics / Macaulay 2

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Macaulay 2'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Macaulay 2"

1

Frühbis-Krüger, Anne, and Alexander Neumer. "Simple Cohen–Macaulay Codimension 2 Singularities." Communications in Algebra 38, no. 2 (February 12, 2010): 454–95. http://dx.doi.org/10.1080/00927870802606018.

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2

MCKELVY, WILLIAM R. "TWO UNPUBLISHED MACAULAY LETTERS." Notes and Queries 45, no. 2 (June 1, 1998): 215–16. http://dx.doi.org/10.1093/nq/45-2-215.

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3

Smith, Larry. "Some Rings of Invariants that are Cohen-Macaulay." Canadian Mathematical Bulletin 39, no. 2 (June 1, 1996): 238–40. http://dx.doi.org/10.4153/cmb-1996-030-2.

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AbstractLet be a representation of the finite group G over the field . If the order |G| of G is relatively prime to the characteristic of or n = 1 or 2, then it is known that the ring of invariants is Cohen-Macaulay. There are examples to show that need not be Cohen-Macaulay when |G| is divisible by the characteristic of . In all such examples is at least 4. In this note we fill the gap between these results and show that rings of invariants in three variables are always Cohen-Macaulay.
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Hong Loan, Nguyen. "On certain invariants of idealizations." Studia Scientiarum Mathematicarum Hungarica 51, no. 3 (September 1, 2014): 357–65. http://dx.doi.org/10.1556/sscmath.51.2014.3.1288.

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Let (R, m) be a Noetherian local ring and M a finitely generated R-module. In this paper, we study some invariants of the idealization R ⋉ M of R and M such as the polynomial type introduced by Cuong [2] and the polynomial type of fractions introduced by Cuong-Minh [3]. As consequences, we characterize the Cohen-Macaulay, generalized Cohen-Macaulay, pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay properties of the idealization R ⋉ M.
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Naeem, Muhammad. "Cohen–Macaulay monomial ideals of codimension 2." manuscripta mathematica 127, no. 4 (October 16, 2008): 533–45. http://dx.doi.org/10.1007/s00229-008-0217-4.

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6

Hoang, Do Trong, Giancarlo Rinaldo, and Naoki Terai. "Cohen-Macaulay and (S2) Properties of the Second Power of Squarefree Monomial Ideals." Mathematics 7, no. 8 (July 31, 2019): 684. http://dx.doi.org/10.3390/math7080684.

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We show that Cohen-Macaulay and (S 2 ) properties are equivalent for the second power of an edge ideal. We give an example of a Gorenstein squarefree monomial ideal I such that S / I 2 satisfies the Serre condition (S 2 ), but is not Cohen-Macaulay.
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Jafari, Madineh, Amir Mafi, and Hero Saremi. "Sequentially cohen-macaulay matroidal ideals." Filomat 34, no. 13 (2020): 4233–44. http://dx.doi.org/10.2298/fil2013233j.

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Let R = K[x1,...,xn] be the polynomial ring in n variables over a field K and let I be a matroidal ideal of degree d in R. Our main focus is determining when matroidal ideals are sequentially Cohen- Macaulay. In particular, all sequentially Cohen-Macaulay matroidal ideals of degree 2 are classified. Furthermore, we give a classification of sequentially Cohen-Macaulay matroidal ideals of degree d ? 3 in some special cases.
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8

Ballhatchet, Kenneth. "The importance of Macaulay." Journal of the Royal Asiatic Society of Great Britain & Ireland 122, no. 1 (January 1990): 91–94. http://dx.doi.org/10.1017/s0035869x00107877.

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In J.R.A.S. 1988/2 Robert E. Frykenberg assails what he calls the “myth” that Macaulay's minute on education in British India was the occasion for a radical change in policy which imposed English education on an unwilling people. He puts forward three main arguments. First, there was no radical change in policy, for the government continued to support “Oriental” education and scholarship as well as English education. Secondly, Macaulay's advocacy of English education was a recognition of the views of “forward-looking gentry in India”. Thirdly, his minute was “one more salvo in a long and running set of encounters in which the positions of some protagonists were often much more blurred than has been properly realised by later generations of historians”. What is new in all this?
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9

HOLM, HENRIK. "THE STRUCTURE OF BALANCED BIG COHEN–MACAULAY MODULES OVER COHEN–MACAULAY RINGS." Glasgow Mathematical Journal 59, no. 3 (June 10, 2016): 549–61. http://dx.doi.org/10.1017/s0017089516000343.

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AbstractOver a Cohen–Macaulay (CM) local ring, we characterize those modules that can be obtained as a direct limit of finitely generated maximal CM modules. We point out two consequences of this characterization: (1) Every balanced big CM module, in the sense of Hochster, can be written as a direct limit of small CM modules. In analogy with Govorov and Lazard's characterization of flat modules as direct limits of finitely generated free modules, one can view this as a “structure theorem” for balanced big CM modules. (2) Every finitely generated module has a pre-envelope with respect to the class of finitely generated maximal CM modules. This result is, in some sense, dual to the existence of maximal CM approximations, which has been proved by Auslander and Buchweitz.
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Hiramatsu, Naoya. "Degenerations of graded Cohen-Macaulay modules." Journal of Commutative Algebra 7, no. 2 (June 2015): 221–39. http://dx.doi.org/10.1216/jca-2015-7-2-221.

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Dissertations / Theses on the topic "Macaulay 2"

1

Renz, Carolina Noele. "Sobre anéis locais Cohen-Maucaulay com Dimensão de imersão e + d - 2 : uma conjectura de Sally." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2010. http://hdl.handle.net/10183/23240.

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Este trabalho desenvolve a demonstração, dada por Wang em 1977, para a conjectura de Sally, enunciada em 1983, que diz que dado um anel local noetheriano Cohen-Macaulay de dimensão d e dimensão de imersão e + d - 2, onde e é a sua multiplicidade, seu anel graduado associado possui profundidade maior ou igual a d - 1. Utilizando uma propriedade demonstrada por Sally em 1979 (Sally Machine), reduzimos o problema ao caso em que a dimensão do anel é 2, e assim, demonstramos que a profundidade do anel graduado associado é positiva.
This work develops the proof, given by Wang in 1977, for Sally's conjecture, stated in 1983. The conjecture says that given a local Noetherian Cohen-Macaulay ring of dimension d and embedding dimension e + d - 2, where e is its multiplicity, its associated graded ring has depth greater than or equal to d - 1. Using a property proved by Sally, in 1979, called the Sally Machine, we reduce the problem to the 2-dimensional case proving that the depth of its associated graded ring is positive.
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2

Macaulay, Zachary. "Zachary Macaulay and the Development of the Sierra Leone Company, 1793-4 - Part 2, Journal, October-December 1793." Universität Leipzig, 2002. https://ul.qucosa.de/id/qucosa%3A33952.

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This volume is the second instalment of the Sierra Leone journals and diary of Zachary Macaulay (1768-1838), who arrived in Sierra Leone in December 1792 as one of two members of council appointed to assist the governor of the Sierra Leone Company's new colony for free blacks.
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Atanasov, Risto. "Groups of geometric dimension 2." Diss., Online access via UMI:, 2007.

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Sullivan, Melissa. "Revisioning middlebrow culture Virginia Woolf, Rose Macaulay, and the politics of taste, 1894-1941 /." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 317 p, 2008. http://proquest.umi.com/pqdweb?did=1601514451&sid=1&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Books on the topic "Macaulay 2"

1

Eisenbud, David. Computations in Algebraic Geometry with Macaulay 2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002.

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Eisenbud, David, Michael Stillman, Daniel R. Grayson, and Bernd Sturmfels, eds. Computations in Algebraic Geometry with Macaulay 2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1.

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Campbell, David, ed. Stewart Macaulay: Selected Works. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33930-2.

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David, Eisenbud, ed. Computations in algebraic geometry with Macaulay 2. Berlin: Springer, 2002.

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Sturmfels, Bernd. Computations in Algebraic Geometry with Macaulay 2. Springer, 2001.

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Macaulay Culkin (Star of Home Alone 2). Parachute Press, Inc, 1992.

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7

Journals of Thomas Babington Macaulay Vol 2. Taylor & Francis Group, 2008.

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Macaulay, Thomas. The Miscellaneous Writings of Lord Macaulay (Collected Works of Thomas Macaulay 2 volumes). Classic Books, 2000.

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Macaulay, Thomas. Speeches (Collected Works of Thomas Macaulay 2 volumes). Classic Books, 2000.

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Macaulay, Macaulay Thomas Babington. Biographies, Lays and Poems, Part 2 (The Complete Writings of Lord Macaulay). Kessinger Publishing, 2004.

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Book chapters on the topic "Macaulay 2"

1

Sturmfels, Bernd. "Ideals, Varieties and Macaulay 2." In Computations in Algebraic Geometry with Macaulay 2, 3–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_1.

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Schreyer, Frank-Olaf, and Fabio Tonoli. "Needles in a Haystack: Special Varieties via Small Fields." In Computations in Algebraic Geometry with Macaulay 2, 251–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_10.

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Walther, Uli. "D-modules and Cohomology of Varieties." In Computations in Algebraic Geometry with Macaulay 2, 281–323. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_11.

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Eisenbud, David. "Projective Geometry and Homological Algebra." In Computations in Algebraic Geometry with Macaulay 2, 17–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_2.

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Grayson, Daniel R., and Michael E. Stillman. "Data Types, Functions, and Programming." In Computations in Algebraic Geometry with Macaulay 2, 41–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_3.

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Smith, Gregory G., and Bernd Sturmfels. "Teaching the Geometry of Schemes." In Computations in Algebraic Geometry with Macaulay 2, 55–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_4.

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Hoşten, Serkan, and Gregory G. Smith. "Monomial Ideals." In Computations in Algebraic Geometry with Macaulay 2, 73–100. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_5.

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Sottile, Frank. "From Enumerative Geometry to Solving Systems of Polynomial Equations." In Computations in Algebraic Geometry with Macaulay 2, 101–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_6.

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Avramov, Luchezar L., and Daniel R. Grayson. "Resolutions and Cohomology over Complete Intersections." In Computations in Algebraic Geometry with Macaulay 2, 131–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_7.

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Stillman, Michael, Bernd Sturmfels, and Rekha Thomas. "Algorithms for the Toric Hilbert Scheme." In Computations in Algebraic Geometry with Macaulay 2, 179–214. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04851-1_8.

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Conference papers on the topic "Macaulay 2"

1

LEYKIN, ANTON. "D-MODULES FOR MACAULAY 2." In Proceedings of the First International Congress of Mathematical Software. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777171_0017.

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