Results 51 to 60 of about 4,899 (213)
The Endomorphism Rings of Supersingular Elliptic Curves over $\mathbb{F}_p$ and the Binary Quadratic Forms [PDF]
Guanju Xiao +3 more
openalex +1 more source
Derangements in intransitive groups
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
Large deviations for endomorphisms of torus
There is not abstract.
Birutė Kryžienė +1 more
doaj +3 more sources
Alperin's bound and normal Sylow subgroups
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng +2 more
wiley +1 more source
A Rickart-Like Theorem for the Additivity of Multiplicative Maps on Rings
Rickart’s theorem states that every bijective multiplicative mapping of a Boolean ring R onto an arbitrary ring S is necessarily additive. We prove a version of Rickart’s theorem for non-bijective mappings.
Bana Al Subaiei, Noômen Jarboui
doaj +1 more source
F‐purity of binomial edge ideals
Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley +1 more source
Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj +1 more source
The log Grothendieck ring of varieties
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Duality for Hilbert algebras with supremum: An application [PDF]
We modify slightly the definition of $H$-partial functions given by Celani and Montangie (2012); these partial functions are the morphisms in the category of $H^\vee$-space and this category is the dual category of the category with objects the Hilbert ...
Hernando Gaitán
doaj +1 more source

