1,732,170 research outputs found

    Upper Cohen-Macaulay Dimension

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    In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension. This invariant is quite similar to Cohen-Macaulay dimension that has been introduced by Gerko. Also we define a homological invariant with respect to a local homomorphism of local rings. This invariant links upper Cohen-Macaulay dimension with Gorenstein dimension.</p

    Oral History Interview, Stewart Macaulay (1515)

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    In these interviews, Stewart Macaulay outlines his life growing up in Michigan and Southern California. Macaulay became a professor at the UW Law School in 1957 and retired in 2008, making significant contributions to the field of law throughout his career. To learn more about this oral history, download & review the index first (or transcript if available). It will help determine which audio file(s) to download & listen to.Born in Atlanta in 1931, Stewart Macaulay grew up in Michigan and then Southern California. He received his A.B. from John Muir Junior College in 1952. Macaulay then went on to Stanford where he received his LL.B. in 1955. After Stanford, Macaulay served as a Law Clerk for Chief Judge William Denman of the 9th Circuit Court of Appeals. Although Macaulay has been a professor at the UW Law School since 1957 he also worked at Stanford's Center for Advanced Study in the Behavioral Sciences from 1966-67 and served as Director of the Chile Law Program at the International Legal Center in Santiago from 1970-72. Over his career Macaulay made significant contributions in the fields of contract law, sociology of law/law and society, and contract theory. He retired from UW in 2008 but maintained a limited teaching load until 2013

    Non-Cohen-Macaulay Vector Invariants and a Noether Bound for a Gorenstein Ring of Invariants

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    This paper contains two essentially independent results in the invariant theory of finite groups. First we prove that, for any faithful representation of a non-trivial p-group over a field of characteristic p, the ring of vector invariants ofmcopies of that representation is not Cohen-Macaulay form 3. In the second section of the paper we use Poincar´e series methods to produce upper bounds for the degrees of the generators for the ring of invariants as long as that ring is Gorenstein. We prove that, for a finite non-trivial group G and a faithful representation of dimension n with n > 1, if the ring of invariants is Gorenstein then the ring is generated in degrees less than or equal to n(jGj ? 1). If the ring of invariants is a hypersurface, the upper bound can be improved to [G]

    Puseyism, or, The Oxford Tractarian School / by T.B. Macaulay.

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    "Reprinted from the Edinburgh Review".; Ferguson, J.A. Australia, 3652; Electronic reproduction. Canberra, A.C.T. : National Library of Australia, 2011.Oxford Tractarian School

    Oral history interview with Angus Macaulay, 2015

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    Transcript of an oral history interview with Angus Macaulay, conducted by Sarah Yahm on 5 May 2015, as part of the Norwich Voices oral history project of the Sullivan Museum and History Center. Angus Macaulay graduated from Norwich University in 1966. His interview focuses on his military service in Korea and Vietnam after graduation as well as his later career at McGraw-Hill, INC. Magazine, and Magazine Services, Inc

    The Letters of Thomas Babington MacAulay

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    Some of Macaulay's letters were printed in nineteenth-century memoirs, but a 'Complete Letters' of this eminent Victorian has long been needed. Professor Pinney is editing the whole body of surviving letters by Macaulay, giving accurate texts and textual and explanatory notes. The letters are in chronological order, grouped by historical theme and phases of Macaulay's life. The first two volumes deal with his childhood, career at Cambridge, early legal career and early political career, and end with him about to leave for India. The letters are lively because Macaulay (as lawyer, essayist, historian, politician, administrator, poet) was a man of enormous energy and very wide interests. They will add greatly to our sense of early Victorian political and cultural life as well as to our understanding of Macaulay himself.</jats:p

    Oral History Interview with David Macaulay, October 28, 2013

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    Interview of David Macaulay conducted by Andrew Martinez in Providence, RI on October 28, 2013. Macaulay speaks of his time in Rome through RISD\u27s European Honors Program and how it influenced his work as an architect. Macaulay also recalls EHP\u27s homestay program and his time in Assisi. Along with this, Macaulay discusses his love for Rome and the importance of experiencing the city if a student is selected for the EHP.https://digitalcommons.risd.edu/archives_oralhistories/1018/thumbnail.jp

    Exceptional Sequences over Graded Cohen-Macaulay Rings

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    The concept of exceptional sequences was developed by Gorodentsev and Rudakov in [3] and generalized by Bondal in [1]. It is a crucial tool to classify exceptional modules over hereditary algebras and exceptiona

    Interview with Margaret W. Macaulay - OH 108

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    IN PROCESSING Macaulay, a former Winthrop faculty member, discusses life in Chester, South Carolina during the first two decades of the 20th century and reminisces about the early history of Winthrop College, particularly the activities of President David Bancroft Johnson, Winthrop\u27s first president (1886-1928)

    Lettre de John Macaulay à William Morris sur la nomination de Morris au poste de receveur général

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    8 pages, originalLettre de John Macaulay [à William Morris] sur : la nomination [de Morris] au poste de receveur général; les effets de la responsabilité ministérielle; la nécessité de faire élire une majorité qui appuie sir Charles [Metcalfe]; l'indécision de [J. P.] Roblin; la probabilité de l'élection de [David] Roblin dans le comté de Lennox et Addington; les écrits d'Egerton Ryerson et de [R. B.] Sullivan au sujet de la responsabilité ministérielle; les impôts de district sur les terres non cultivées; la nécessité d'une loi pour faire publier les décisions des conseils de district concernant ces impôts; l'absence de Macaulay pendant la prochaine session parlementaire
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