Results 71 to 80 of about 443,027 (142)
Extension Functors of Generalized Local Cohomology Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative Noetherian ring with non-zero identity, is an ideal of , is a finitely generated -module, and is an arbitrary -module which is not necessarily finitely generated.
Alireza Vahidi +2 more
doaj
The weak Lefschetz property for artinian Gorenstein algebras
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3211-3222, October 2025.Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley +1 more source
Finiteness conditions for projective and injective modules
, 1973 Does Hopkins’ theorem extend to projective modules, i.e., are projective Artinian modules Noetherian? An example is given to answer this question in the negative; however, we show that the answer is affirmative for certain large classes of projective ...
Joe W. Fisher
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
The cone of Hilbert functions in the non-standard graded case
Le Matematiche, 2012 We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.
Daniel Brinkmann, Marianne Merz
doaj
Embeddings in Free Modules and Artinian Rings
Journal of Algebra, 1997 A ring \(R\) is said to be right FGF (right CF) if every finitely generated (respectively cyclic) right \(R\)-module embeds in a free \(R\)-module. This paper looks at the open question, known as the FGF problem, of whether a right FGF ring is quasi-Frobenius (QF). (If every right \(R\)-module embeds in a free module then it is well-known that \(R\) is
Gómez Pardo, José L. +1 more
openaire +2 more sources
Some properties of Artinian modules and applications
, 2018 Let [Formula: see text] be a Noetherian local ring and [Formula: see text] be an Artinian [Formula: see text]-module. Consider the following property for [Formula: see text] : [Formula: see text] In this paper, we study the property (∗) of [Formula: see
Tran Nguyen An
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Some Results on Graded Generalized Local Cohomology Modules
Journal of Mathematical Extension, 2010 . Let R = ⊕n>0Rn be a graded Noetherian ring with local base ring R0 and let R+ = ⊕n>1Rn. Let M and N be finitely generated graded R-modules. In this paper we extend some of the known results about ordinary local cohomology modules Hi R+ (M) to ...
F. Dehghani-Zadeh, H. Zakeri
doaj
Artinianness of formal local cohomology modules [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 Summary: Let \(\mathfrak{a}\) be an ideal of Noetherian local ring \((R,\mathfrak{m})\) and \(M\) a finitely generated \(R\)-module of dimension \(d\). In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the local cohomology modules with respect to \(\mathfrak{m}\).
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STRUCTURE OF THE FLAT COVERS OF ARTINIAN MODULES [PDF]
Journal of the Korean Mathematical Society, 2002 Summary: The aim of the paper is to obtain information about the flat covers and minimal flat resolutions of Artinian modules over a Noetherian ring. Let \(R\) be a commutative Noetherian ring and let \(A\) be an Artinian \(R\)-module. We prove that the flat cover of \(A\) is of the form \(\prod_{p\in\text{Att}_R(A)}T_p\), where \(T_p\) is the ...
openaire +1 more source