Results 91 to 100 of about 600,300 (198)
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
Classes of modules closed under projective covers
Open MathematicsIn 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 +2 more
doaj +1 more source
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
Structure of H-semiprime artinian algebras [PDF]
, 2011 Let H be a Hopf algebra over a field. It is proved that every H-semiprime right artinian left H-module algebra A is quasi-Frobenius and H-semisimple.
Skryabin S.
core
Certain Artinian Rings are Noetherian
, 1972 Throughout this paper the word “ring” will mean an associative ring which need not have an identity element. There are Artinian rings which are not Noetherian, for example C(p∞) with zero
Robert C. Shock
core +1 more source
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
Modules over group rings of groups with restrictions on the system of all proper subgroups [PDF]
International Journal of Group Theory, 2015 We consider the class M of R{modules where R is an associative ring. Let A be a module over a group ring RG, G be a group and let L(G) be the set of all proper subgroups of G. We suppose that if H 2 L(G) then A=CA(H) belongs to M. We study an RG{module A
Olga Dashkova
doaj
ON THE LATTICE OF LINEAR MODULE TOPOLOGIES
, 1993 We study various features of the lattice ${\cal L}_M$ of linear module topologies on a module $M$ and their impact on the structure of the abstract module.
TONOLO, ALBERTO, DIKRANJAN D
core +1 more source
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
Structure of H-semiprime artinian algebras
, 2020 Let H be a Hopf algebra over a field. It is proved that every H-semiprime right artinian left H-module algebra A is quasi-Frobenius and H-semisimple.
Skryabin S.
core