Results 41 to 50 of about 43,448 (306)
Multiplicative complexity of direct sums of quadratic systems
We consider the quadratic complexity of certain sets of quadratic forms. We study classes of direct sums of quadratic forms. For these classes of problems we show that the complexity of one direct sum is the sum of the complexities of the summands and ...
Nader H. Bshouty, Bshouty, Nader H.
core +1 more source
ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele +19 more
wiley +1 more source
Fuzzy Stability Results of Generalized Quartic Functional Equations
In the present paper, we introduce a new type of quartic functional equation and examine the Hyers–Ulam stability in fuzzy normed spaces by employing the direct method and fixed point techniques.
Sang Og Kim, Kandhasamy Tamilvanan
doaj +1 more source
Direct Sum Decomposition of the Integers [PDF]
Denote by \(\mathbb{Z}(\mathbb{N})\) the set of all integers (all positive integers). If \(A,B\subseteq\mathbb{Z}\), then we put \(A+B= \{a+b: a\in A, b\in B\}\), \(A-B= \{a-b:a\in A, b\in B\}\). If \(A+B=\mathbb{Z}\) and every \(z\in\mathbb{Z}\) can be uniquely expressed in the form \(z=a+b\), then we write \(A\oplus B=\mathbb{Z}\) and \(\mathbb{Z ...
openaire +3 more sources
Rings whose right modules are direct sums of indecomposable modules
It is shown that, given a module M over a ring with 1, every direct product of copies of M is a direct sum of modules with local endomorphism rings if and only if every direct sum of copies of M is algebraically compact. As a consequence, the rings whose
Birge Zimmermann-Huisgen
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ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
wiley +1 more source
AbstractFor classical matroids, the direct sum is one of the most straightforward methods to make a new matroid out of existing ones. This paper defines a direct sum for q-matroids, the q-analogue of matroids. This is a lot less straightforward than in the classical case, as we will try to convince the reader.
Michela Ceria, Relinde Jurrius
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ABSTRACT Background 131I‐metaiodobenzylguanidine (131I‐MIBG) radiotherapy is a key treatment for relapsed and refractory (R/R) neuroblastoma (NB). Patients with R/R disease treated in the modern era are increasingly exposed to anti‐GD2 immunotherapy, which exerts selective pressure and may modify both tumor cell state and microenvironment.
Benjamin J. Lerman +7 more
wiley +1 more source
Rings decomposed into direct sums of J-rings and nil rings
Let R be a ring (not necessarily with identity) and let E denote the set of idempotents of R. We prove that R is a direct sum of a J-ring (every element is a power of itself) and a nil ring if and only if R is strongly π-regular and E is contained in ...
Hisao Tominaga
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Strongly K-nonsingular Modules
A submodule N of a module M is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential ...
Tha'ar Younis Ghawi
doaj +1 more source

