Ostial vs Ampulla Techniques to Measure Virtual Valve-to-Coronary Distance in TAVR Coronary Obstruction Risk. [PDF]
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Correction: Brachova et al. Codon Composition in Human Oocytes Reveals Age-Associated Defects in mRNA Decay. <i>Int. J. Mol. Sci.</i> 2025, <i>26</i>, 9395. [PDF]
Brachova P, Christenson LK, Alvarez NS.
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Correction: Purohit et al. Incidental Pulmonary Nodule (IPN) Programs Working Together with Lung Cancer Screening and Artificial Intelligence to Increase Lung Cancer Detection. <i>Cancers</i> 2025, <i>17</i>, 1143. [PDF]
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Correction: Ahmed et al. In Situ Transformed CoOOH@Co<sub>3</sub>S<sub>4</sub> Heterostructured Catalyst for Highly Efficient Catalytic OER Application. <i>Nanomaterials</i> 2024, <i>14</i>, 1732. [PDF]
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Some Divisibility Properties Concerning Lucas and Elliptic Divisibility Sequences
2022Consider the following sequences of integers that are respectively called by the Lucas sequences \(\{U_n(P,Q)\}\) and elliptic divisibility sequences \(\{h_n\}\): \[ U_0(P,Q) = 0,\ U_1(P,Q) = 1, \quad U_n(P,Q) = PU_{n-1}(P,Q)-QU_{n-2}(P,Q)\text{ for } n\geq 2 \] and \[ h_{m+n}h_{m-n}=h_{m+1}h_{m-1}h_n^2-h_{n+1}h_{n-1}h_m^2\text{ for all }m\geq n \geq 0.
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Divisibility Properties of Graded Domains
Canadian Journal of Mathematics, 1982Let R = ⊕α∊гRα be an integral domain graded by an arbitrary torsionless grading monoid Γ. In this paper we consider to what extent conditions on the homogeneous elements or ideals of R carry over to all elements or ideals of R. For example, in Section 3 we show that if each pair of nonzero homogeneous elements of R has a GCD, then R is a GCD-domain ...
Anderson, D. D., Anderson, David F.
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