Results 31 to 40 of about 618,863 (318)
A Class of Local Non-Chain Rings of Order p5m
This study investigates finite commutative local non-chain rings characterized by the well-established invariants p, n, m, l, and k, where p denotes a prime number. We specifically focus on Frobenius local rings with length l=5 and an index of nilpotency
Alhanouf Ali Alhomaidhi +2 more
doaj +1 more source
Uniform definability of henselian valuation rings in the Macintyre language
We discuss definability of henselian valuation rings in the Macintyre language $\mathcal{L}_{\rm Mac}$, the language of rings expanded by n-th power predicates. In particular, we show that henselian valuation rings with finite or Hilbertian residue field
Fehm, Arno, Prestel, Alexander
core +1 more source
Localization in a Graded Ring [PDF]
No abstract.
openaire +1 more source
This paper is dealed with a special local ring A and modules over A. Some properties of modules, that are constructed over the real plural algebra, are investigated. Moreover a module is constructed over the linear algebra of matrix Mmm(ℝ) and one of its
Erdoğan Fatma Özen +2 more
doaj +1 more source
Poincar\'e series of modules over compressed Gorenstein local rings
Given positive integers e and s we consider Gorenstein Artinian local rings R of embedding dimension e whose maximal ideal $\mathfrak{m}$ satisfies $\mathfrak{m}^s\ne 0=\mathfrak{m}^{s+1}$.
Rossi, Maria Evelina, Şega, Liana M
core +1 more source
ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
The Metric Dimension and Local Metric Dimension of Relative Prime Graph
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 +2 more
doaj +1 more source
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
Clinical Insights Into Hypercalcemia of Malignancy in Childhood
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
Semigroups of valuations on local rings [PDF]
In this paper the question of which semigroups are realizable as the semigroup of values attained on a Noetherian local ring which is dominated by a valuation is considered.
Cutkosky, Steven Dale, Teissier, Bernard
core +7 more sources

