Results 31 to 40 of about 811 (133)

Injective modules over commutative noetherian rings [PDF]

, 1974
This thesis examines the structure of injective modules over commutative noetherian rings. The author shows that any injective module over a commutative noetherian ring can be written as a direct sum of indecomposable injective modules, where each ...
Staton, James Brooks, NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

Classes of modules closed under projective covers

Open Mathematics
In this work, we study some classes of modules closed under submodules, quotients, and projective covers, even if the left projective cover of an arbitrary left module not always exists. We obtain a characterization of artinian principal ideal rings when
Cejudo-Castilla César, García-Ramírez Ángel Raúl, Montalvo Ivan Fernando Vilchis   +2 more
doaj   +1 more source

Secondary representations for injective modules over commutative Noetherian rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1976
There have been several recent accounts of a theory dual to the well-known theory of primary decomposition for modules over a (non-trivial) commutative ring A with identity: see (4), (2) and (9). Here we shall follow Macdonald's terminology from (4) and refer to this dual theory as “ secondary representation theory ”.
openaire   +2 more sources

The DGA of planar loops when 2n=4$2n=4$

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract The DGA of planar loops is a pictorial chain complex introduced in a recent paper of the author, Boyd, Randal‐Williams and Sroka, where a minimal model for it was given. In the first non‐trivial case, 2n=4$2n=4$, we give a new model which incorporates two natural ‘reflection’ involutions, as well as a more explicit description of the existing ...
Guy Boyde
wiley   +1 more source

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source

Crystal structure of localized quantum unipotent coordinate category

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract A localized quantum unipotent coordinate category C∼w${\tilde{\mathcal{C}}}_{w}$ associated with a Weyl group element w$w$ is a rigid monoidal category that is obtained by applying the localization process to the category Cw${\mathcal{C}}_{w}$, a subcategory of the category R-gmod$R\text{-}\mathrm{gmod}$ of finite‐dimensional graded modules of
Masaki Kashiwara, Toshiki Nakashima
wiley   +1 more source

Homology of Artinian Modules Over Commutative Noetherian Rings [PDF]

, 2011
This work is primarily concerned with the study of artinian modules over commutative noetherian rings. We start by showing that many of the properties of noetherian modules that make homological methods work seamlessly have analogous properties for ...
Leamer, Micah J., Leamer, Micah Josiah
core  

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Torsion pairs via the Ziegler spectrum

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri   +2 more
wiley   +1 more source

Jacobson's conjecture and modules over fully bounded Noetherian rings

, 1974
The object of this paper is to investigate finitely generated modules and injective modules over fully bounded Noetherian rings. Our main results on f.g.
Jategaonkar, Arun Vinayak
core   +1 more source