Results 11 to 20 of about 1,508,826 (231)
On the Unit Graph of a Noncommutative Ring [PDF]
Let $R$ be a ring (not necessary commutative) with non-zero identity. The unit graph of $R$, denoted by $G(R)$, is a graph with elements of $R$ as its vertices and two distinct vertices $a$ and $b$ are adjacent if and only if $a+b$ is a unit element of ...
Akbari, S., Estaji, E., Khorsandi, M. R.
core +1 more source
Local rings of bounded module type are almost maximal valuation rings
It is shown that every commutative local ring of bounded module type is an almost maximal valuation ...
Couchot, Francois
core +3 more sources
Locally finite profinite rings
17 ...
Jan Dobrowolski, Krzysztof Krupiński
openaire +2 more sources
Localizations of HNP rings [PDF]
In this paper it is shown that every hereditary Noetherian prime ring is the intersection of a hereditary Noetherian prime ring having no invertible ideals with a bounded hereditary Noetherian prime ring in which every nonzero two-sided ideal contains an invertible two-sided ideal.
openaire +2 more sources
Abstract Background A routine baseline echocardiogram is often obtained prior to anthracycline administration in children with cancer. The utility of baseline echocardiogram is unclear in patients with standard risk B‐cell acute lymphoblastic leukemia (SR B‐ALL) as their anthracycline cumulative dose is low.
Ziyad Alrajhi +4 more
wiley +1 more source
ABSTRACT Background Osteonecrosis (ON) is a debilitating complication of acute lymphoblastic leukemia (ALL) therapy. While numerous studies have explored its incidence and associated risk factors, investigations using large‐scale cohorts remain important to characterize ON across heterogeneous populations.
Noémie de Villiers +5 more
wiley +1 more source
The notion of almost Gorenstein ring given by Barucci and Fr{\"o}berg \cite{BF} in the case where the local rings are analytically unramified is generalized, so that it works well also in the case where the rings are analytically ramified.
Naoyuki Matsuoka +3 more
core
ABSTRACT Purpose Malignant rhabdoid tumor of the kidney (MRTK) is a rare, aggressive tumor seen in young children. The optimal timing of resection for locally advanced tumors is not well‐defined. The purpose of this study is to evaluate modern oncologic outcomes and the impact of surgical timing. Methods A multicenter retrospective review was performed
Hannah N. Rinehardt +76 more
wiley +1 more source
Local rings of countable Cohen--Macaulay type [PDF]
We prove (the excellent case of) Schreyer's conjecture that a local ring with countable Cohen--Macaulay type has at most a one-dimensional singular locus.
Huneke, Craig, Leuschke, Graham
core +3 more sources
Two-Local derivations on associative and Jordan matrix rings over commutative rings
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
Arzikulov, Farhodjon, Ayupov, Shavkat
core +1 more source

