Results 11 to 20 of about 783 (126)
Flat modules over commutative noetherian rings [PDF]
Transactions of the American Mathematical Society, 1970 In this work we study flat modules over commutative noetherian rings under two kinds of restriction: that the modules are either submodules of free modules or that they have finite rank. The first ones have nicely behaved annihilators: they are generated by idempotents.
Wolmer V. Vasconcelos
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Poincaré duality in Hochschild (co)homology [PDF]
, 2006 These are notes on van den Bergh’s analogue of Poincar´e duality in Hochschild (co)homology [VdB98]. They are based on survey talks that I gave in 2006 in G¨ottingen, Cambridge and Warsaw and consist of an elementary explanation of the proof in terms ...
Kraehmer, U.
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COMMUTATIVE RINGS AND MODULES THAT ARE r-NOETHERIAN [PDF]
, 2021 In this paper, we introduce and investigate a new class of modules that is closely related to the class of Noetherian modules. Let R be a commutative ring and M be an R-module. We say that M is an r-Noetherian module if every r-submodule of M is finitely
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Upper Cohen-Macaulay Dimension [PDF]
, 2004 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.
Tokuji Araya +5 more
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LINKAGE AND DUALITY OF MODULES [PDF]
, 2009 Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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On modules with finite Gorenstein dimension [PDF]
Journal of Mahani Mathematical ResearchSince the seminal work of Auslander and Bridger, the theory of Gorenstein dimension (G-dimension) has undergone substantial development and attracted considerable attention.
Behruz Sadeqi
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On right S-Noetherian rings and S-Noetherian modules [PDF]
, 2018 In this paper we study right S-Noetherian rings and modules, extending notions introduced by Anderson and Dumitrescu in commutative algebra to noncommutative rings.
TEKİR, ÜNSAL
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Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings II [PDF]
Proceedings of the Edinburgh Mathematical Society, 1991 Let E be an injective module over a commutative Noetherian ring A (with non-zero identity), and let a be an ideal of A. The submodule (0:Eα) of E has a secondary representation, and so we can form the finite set AttA(0:Eα) of its attached prime ideals.
Toroghy, H. Ansari, Sharp, R. Y.
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Local Cohomology Modules and Relative Cohen-Macaulayness
Discussiones Mathematicae - General Algebra and Applications, 2018 Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
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Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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