Results 61 to 70 of about 42,209 (310)
Derivations on One-Sided Ideals of Prime Rings [PDF]
, 2015 [[abstract]]Let R be a prime ring, ρ a nonzero right ideal of R, d a derivation of R and n a fixed positive integer.(I) If d(u)u^n=0 for all u belong to ρ, then d(ρ)ρ=0.(II) If {u^n}d(u)=0 for all u belong to ρ, then d=0 unless R isomorphic to M_2(F ...
林裕清 +3 more
core
Rigidity and exotic models for the K-local stable homotopy category [PDF]
, 2007 Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2.
Roitzheim, C., Roitzheim, Constanze
core +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
On the Prime Ideals in a Commutative Ring [PDF]
, 2000 If n and m are positive integers, necessary and sufficient conditions are given for the existence of a finite commutative ring R with exactly n elements and exactly m prime ideals.
David E. Dobbs
core +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Minimal prime ideals of skew Hurwitz series ring [PDF]
, 2021 Let R be a ring with an endomorphism α. In this paper we obtain necessary and sufficient conditions on R and α such that the skew Hurwitz series ring (HR, α) is a 2-primal ring. In particular, it is proved that, under suitable conditions, (
Paykan, Kamal
core +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
An Annihilator Condition on Prime Rings with Derivations [PDF]
, 2015 [[abstract]]Let R be a prime ring with a derivation d and U be its nonzero Lie ideal. If a 2 R, such that a(d(u))mun = 0 for all u 2 U or aun(d(u))m = 0 for all u 2 U and m; n fixed positive integers, then (i) a = 0 or d(U) = 0 if char R 6= 2, (ii) a = 0
Sharma, R. K., Dhara, Basudeb
core
Primitive ideals and automorphisms of quantum matrices. [PDF]
, 2007 Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H. +3 more
core +1 more source
Prime (-1, 1) Rings with Idempotent [PDF]
Proceedings of the American Mathematical Society, 1967 Algebras of type \((\gamma,\delta)\)) were first defined by \textit{A. A. Albert} [Port. Math. 8, 23--36 (1949; Zbl 0033.15401)]. In a 1963 paper [Proc. Am. Math. Soc. 14, 110--117 (1963; Zbl 0108.26101)] \textit{C. Maneri} showed that a simple \((-1,1)\) ring with a nontrivial idempotent and characteristic prime to 6 must be associative.
openaire +1 more source