Results 11 to 20 of about 30,075 (226)
Variations on Noetherianness [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 In constructive mathematics, several nonequivalent notions of finiteness exist. In this paper, we continue the study of Noetherian sets in the dependently typed setting of the Agda programming language.
Denis Firsov +2 more
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Noetherian and Artinian Lattices [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 It is proved that if L is a complete modular lattice which is compactly generated, then Rad(L)/0 is Artinian if, and only if for every small element a of L, the sublattice a/0 is Artinian if, and only if L satisfies DCC on small elements.
Derya Keskin Tütüncü +2 more
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Measures and dynamics on Noetherian spaces [PDF]
The Journal of Geometric Analysis, 2012 We give an explicit description of all finite Borel measures on Noetherian topological spaces X, and characterize them as objects dual to a space of functions on X.
Gignac, William
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Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]
Math Ann, 2023 AbstractIn a previous paper, the third author proved that finite-degree polynomial functors over infinite fields are topologically Noetherian. In this paper, we prove that the same holds for polynomial functors from free R-modules to finitely generated R-modules, for any commutative ring R whose spectrum is Noetherian. As Erman–Sam–Snowden pointed out,
Bik A, Danelon A, Draisma J.
europepmc +6 more sources
Noetherian operators in Macaulay2
Journal of Software for Algebra and Geometry, 2022 A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficients. We implement both symbolic and numerical algorithms to produce such a description in various scenarios as well as routines for studying affine schemes through the prism ...
Chen, Justin +4 more
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On right S-Noetherian rings and S-Noetherian modules [PDF]
Communications in Algebra, 2017 8 pages; corrections made to Example 1 and Theorem 2 ...
Zehra Bı̇lgı̇n +2 more
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Spaces with Noetherian cohomology [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractIs the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens–Venkov Theorem.
Andersen, Kasper K. S. +4 more
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Journal of Pure and Applied Algebra, 2008 AbstractLet R=R0⊕R1⊕R2⊕⋯ be a graded algebra over a field K such that R0 is a finite product of copies of K and each Ri is finite dimensional over K. Set J=R1⊕R2⊕⋯ and S=⊕n≥0ExtRn(R/J,R/J). We study the properties of the categories of graded R-modules and S-modules that relate to the noetherianity of R. We pay particular attention to the case when R is
Green, E. L. +3 more
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Desingularization of quasi-excellent schemes in characteristic zero [PDF]
, 2008 Grothendieck proved in EGA IV that if any integral scheme of finite type over a locally noetherian scheme X admits a desingularization, then X is quasi-excellent, and conjectured that the converse is probably true. We prove this conjecture for noetherian
Artin +28 more
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Co-Cohen-Macaulay Modules and Local Cohomology
Journal of Mathematics, 2013 Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and ...
Hero Saremi, Amir Mafi
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