Results 71 to 80 of about 306,524 (177)
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
, 1995 Band sums of associative rings were introduced by Weissglass in 1973. The main theorem claims that the support of every Artinian band sum of rings is finite. This result is analogous to the well-known theorem on Artinian semigroup rings.
Kelarev, AV (15477533)
core
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
, 1979 Let R be a ring with identity and let θ \theta be a group homomorphism from a group G to Aut ( R ) {\operatorname {Aut}}(R) , the group of automorphisms of R.
Jae Keol Park
core +1 more source
Cotilting Duality for Artinian Rings
A classical result due to Morita and Azumaya establishes that given two arbitrary rings, any duality between their finitely generated modules is representable by a faithfully balanced bimodule which is a finitely generated injective cogenerator of both rings and, equivalently, these latter are one-sided artinian. We extend this well-known result to the
Mantese, Francesca, Martini, Lorenzo
openaire +2 more sources
On Some Classes of Artinian Rings
Journal of Algebra, 2000 The authors study certain classes of Artinian rings whose modules have nice decomposition properties. It is shown that if every countably generated right \(R\)-module is the direct sum of a projective module and a CS-module (i.e., a module with all complements being direct summands), then \(R\) is right Artinian with Jacobson radical cube zero.
Huynh, Dinh Van, Rizvi, S.Tariq
openaire +1 more source
DECOMPOSITION OF ARTINIAN ALTERNATIVE RINGS
Mathematics of the USSR-Sbornik, 1982 In der Arbeit werden Zerlegungssätze für artinsche alternative Ringe bewiesen, die für den assoziativen Fall auf \textit{F. Szász} [Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. Phys. 11, 351--354 (1963; Zbl 0121.04003)], \textit{Dinh Van Huynh} [Math. Nachr. 91, 117--126 (1979; Zbl 0428.16017)], \textit{A. Kertész} und den Autor [J.
openaire +4 more sources
Journal of Taibah University for ScienceConsider a commutative ring with unity denoted as [Formula: see text]. An ideal I of a ring [Formula: see text] is called an annihilating ideal if there exists a non-zero element [Formula: see text] such that rI = 0.
Nadeem ur Rehman +3 more
doaj +1 more source
On completely 0-simple semigroups
International Journal of Mathematics and Mathematical Sciences, 1996 Let S be a completely 0-simple semigroup and F be an algebraically closed field. Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C is a zero semigroup.
Yue-Chan Phoebe Ho
doaj +1 more source
The proteasome: A key modulator of nervous system function, brain aging, and neurodegenerative disease. [PDF]
Front Cell Dev Biol, 2023 Davidson K, Pickering AM.
europepmc +1 more source