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In algebra, Matlis duality is a duality between Artinian and Noetherian modules over a complete Noetherian local ring. In the special case when the local...

Dual system Koszul duality Langlands dual Linear programming#Duality List of dualities Matlis duality Petrie duality Pontryagin duality S-duality T-duality...

modules over commutative Noetherian rings, and his introduction of Matlis duality. Matlis earned his Ph.D. at the University of Chicago in 1958, with Irving...

Eben Matlis 1.  Matlis duality is a duality between Artinian and Noetherian modules over a complete Noetherian local ring. 2.  A Matlis module is an injective...

Grothendieck local duality; and subsequently. The Greenlees–May duality, first formulated in 1976 by Ralf Strebel and in 1978 by Eben Matlis, is part of the...

that are not Cohen–Macaulay, that replaces the dualizing module with a dualizing complex. Matlis duality Bruns, Winfried; Herzog, Jürgen (1993), Cohen–Macaulay...

canonical bundle of a smooth variety. It is used in Grothendieck local duality. A dualizing module for a Noetherian ring R is a finitely generated module M such...

_{R}} is a dualizing module for R {\displaystyle R} . In terms of the Matlis duality functor D ( − ) {\displaystyle D(-)} , the local duality theorem may...

(also used in Wiles's proof of Fermat's Last Theorem): Duality (mathematics), Eben Matlis; Dualizing module, Popescu's theorem, Artin approximation theorem...

process "the duality of structure and agency", since both aspects are involved in using and producing social actions.: 322  The duality of structure is...

Mathematics, 15: 363–370, doi:10.4153/CJM-1963-041-4, ISSN 0008-414X, MR 0147509 Matlis, Eben (1958), "Injective modules over Noetherian rings", Pacific Journal...

particularly rich theory is available for commutative noetherian rings due to Eben Matlis, (Lam 1999, §3I). Every injective module is uniquely a direct sum of indecomposable...

converts R modules to S modules, where S is a localization of R. Matlis module Matlis module Mitchell's embedding theorem Mitchell's embedding theorem...

of Computer Science (FOCS). Redondo Beach, CA: IEEE CS Press. pp. 57–65. Matlis, Jan (November 4, 2002). "Scale-Free Networks". Newman, Mark E.J. (2003)...

including notable mathematicians Hyman Bass, Susanna S. Epp, Günter Lumer, Eben Matlis, Donald Ornstein, Ed Posner, Alex F. T. W. Rosenberg, Judith D. Sally, and...

example, 428 poor Hindus in Matli were converted between 2009 and 2011 by the Madrassa Baitul Islam, a Deobandi seminary in Matli, which pays off the debts...

founding of the Republic of Turkey in 1923 and 2002, there had been 6,000 km of dual carriageway roads created. Between 2002 and 2011, another 13,500 km of expressway...