Results 51 to 60 of about 15,584 (255)
Algebraic Properties of Semi-Direct Sums of Rings
Annales Mathematicae SilesianaeLet R be an associative ring not necessarily with unity. We say that R is a semi-direct sum of rings S and I, if R = S + I, where S is a subring of a ring R, I is an ideal of R and S ∩ I = {0}.
Nowakowska Marta
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An Identity in Commutative Rings with Unity with Applications to Various Sums of Powers
Discrete Dynamics in Nature and Society, 2017 Let R=(R,+,·) be a commutative ring of characteristic m>0 (m may be equal to +∞) with unity e and zero 0. Given a positive integer n<m and the so-called n-symmetric set A=a1,a2,…,a2l-1,a2l such that al+i=ne-ai for each i=1,…,l, define the rth power sum Sr(A) as Sr(A)=∑i=12lair, for r=0,1,2,…. We prove that for each positive integer k there holds ∑
Miomir Andjić, Romeo Meštrović
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai +4 more
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Prime and special ideals in structural matrix rings over a ring without unity [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988 AbstractA. D. Sands showed that there is a 1–1 correspondence between the prime ideals of an arbitraty associative ring R and the complete matrix ring Mn(R) via P→ Mn(P). A structural matrix ring M(B, R) is the ring of all n × n matrices over R with 0 in the positions where the n × n boolean matrix B, B a quasi-order, has 0.
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A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2016 Let R be a commutative ring with unity. In this paper we introduce and study fuzzy distributive modules and fuzzy arithmetical rings as generalizations of (ordinary) distributive modules and arithmetical ring. We give some basic properties about these
I.M.A. Hadi, Sh. B. Semeein
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Some results on the comaximal ideal graph of a commutative ring [PDF]
Transactions on Combinatorics, 2016 Let $R$ be a commutative ring with unity. The comaximal ideal graph of $R$, denoted by $mathcal{C}(R)$, is a graph whose vertices are the proper ideals of $R$ which are not contained in the Jacobson radical of $R$, and two vertices $I_1$ and $I_2$ are ...
Hamid Reza Dorbidi, Raoufeh Manaviyat
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction This study investigated the safety and efficacy of single‐needle Rheocarna therapy for chronic limb‐threatening ischemia (CLTI) with wounds. Methods Six patients with CLTI involving ulcers unresponsive to revascularization underwent single‐needle Rheocarna treatment.
Yasutaka Yamauchi +9 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi +6 more
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