Results 61 to 70 of about 306,524 (177)

On the Clean Graph of Commutative Artinian Rings

International Journal of Mathematics and Mathematical Sciences
For a commutative Artinian ring R with unity, the clean graph ClR is a graph with vertices in the form of an ordered pair e,u, where e is an idempotent and u is a unit of ring R, respectively.
R. Singh, M. Habibi, S. C. Patekar
doaj   +1 more source

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

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

Polarization and Gorenstein liaison

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi, Patricia Klein, Jenna Rajchgot, Alexandra Seceleanu   +3 more
wiley   +1 more source

Artinian rings, finite principal ideal rings and algebraic error-correcting codes

, 1998
This thesis contains structure theorems for several types of Artinian rings, in particular, finite rings, commutative Artinian rings containing an identity, finite commutative rings containing an identity, and semisimple Artinian semigroup-graded rings ...
Cazaran, Jilyana (15932390)
core   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

Classifying thick subcategories over a Koszul complex via the curved BGG correspondence

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract In this work, we classify the thick subcategories of the bounded derived category of dg modules over a Koszul complex on any list of elements in a regular ring. This simultaneously recovers a theorem of Stevenson when the list of elements is a regular sequence and the classification of thick subcategories for an exterior algebra over a field ...
Jian Liu, Josh Pollitz
wiley   +1 more source

Equivariant Hilbert and Ehrhart series under translative group actions

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley   +1 more source

Bi-artinian noetherian rings [PDF]

Glasgow Mathematical Journal, 2001
A noetherian ring R satisfies the descending chain condition on two-sided ideals (“is bi-artinian”) if and only if, for each prime P ∈ spec(R), R/P has a unique minimal ideal (necessarily idempotent and left-right essential in R/P). The analogous statement for merely right noetherian rings is false, although our proof does not use the full ...
openaire   +2 more sources