Results 61 to 70 of about 204,704 (282)

Generic formal fibers and analytically ramified stable rings

, 2012
Let $A$ be a local Noetherian domain of Krull dimension $d$. Heinzer, Rotthaus and Sally have shown that if the generic formal fiber of $A$ has dimension $d-1$, then $A$ is birationally dominated by a one-dimensional analytically ramified local ...
Akizuki, Drozd, Fuchs, Kabbaj, Krull, Matlis, Matlis, Matlis, Matsumura, Matsumura, Nagata, Olberding, Olberding, Olberding   +13 more
core   +1 more source

Dependent Automorphisms in Prime Rings [PDF]

Canadian Mathematical Bulletin, 1998
AbstractFor each n ≥ 4 we construct a class of examples of a minimal C dependent set of n automorphisms of a prime ring R, where C is the extended centroid of R. For n = 4 and n = 5 it is shown that the preceding examples are completely general, whereas for n = 6 an example is given which fails to enjoy any of the nice properties of the above example.
Brešar, Matej, Martindale, W. S., Miers, C. Robert   +2 more
openaire   +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, Trina Dykstra‐MacPherson, Mathias A. Bell, Peter L. Davies, Ruby May A. Sullan   +4 more
wiley   +1 more source

The Metric Dimension and Local Metric Dimension of Relative Prime Graph

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020
This study aims to determine the value of metric dimensions and local metric dimensions of relative prime graphs formed from modulo  integer rings, namely . As a vertex set is  and  if  and  are relatively prime.
Inna Kuswandari, Fatmawati Fatmawati, Mohammad Imam Utoyo   +2 more
doaj   +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

On Prime Rings with Derivations

Axioms
This paper identifies all derivations associated with two well-known non-commutative prime rings and provides some remarks on one of these derivations, called the prime derivation.
Khalid H. Al-Shaalan
doaj   +1 more source

On Polynomial Rings Over Nil Rings in Several Variables and the Central Closure of Prime Nil Rings

, 2016
We prove that the ring of polynomials in several commuting indeterminates over a nil ring cannot be homomorphically mapped onto a ring with identity, i.e. it is Brown-McCoy radical. It answers a question posed by Puczylowski and Smoktunowicz.
Chebotar, Mikhail, Ke, Wen-Fong, Lee, Pjek-Hwee, Puczylowski, Edmund R.   +3 more
core   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

On certain functional equation in prime rings

Open Mathematics, 2022
The purpose of this paper is to prove the following result. Let RR be prime ring of characteristic different from two and three, and let F:R→RF:R\to R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2)F\left({x}^{3})=F\left({x}^{2})
Fošner Maja, Marcen Benjamin, Vukman Joso   +2 more
doaj   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source