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NILRADICALS OF POWER SERIES RINGS AND NIL POWER SERIES RINGS
Journal of the Korean Mathematical Society, 2005 Let \(R\) be a ring, not necessarily with an identity, and let \(X\) be a nonempty set of indeterminates. \(R[\![X]\!]\) and \(R\{X\}\) denote the power series over \(R\) with \(X\) commuting and when \(X\) is noncommuting, respectively. Earlier results on the nilradical of these rings [\textit{E. R. Puczyłowski} and \textit{A. Smoktunowicz}, Isr.
Yang Lee, Chan Huh, Hong Kee Kim
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An approach for coherent periodogram averaging of tilt‐series data for improved contrast transfer function estimation [PDF]
FEBS Open BioCryo‐electron microscopy (cryo‐EM) has become an indispensable technique for determining three‐dimensional structures of biological macromolecules. A critical aspect of achieving high‐resolution cryo‐EM reconstructions is accurately determining and ...
Sagar Khavnekar, William Wan
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Endo-Noetherian Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2023 Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq +2 more
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On skew power series over McCoy rings [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a ring with an endomorphism $\alpha$. A ring $R$ is a skew power series McCoy ring if whenever any non-zero power series $f(x)=\sum_{i=0}^{\infty}a_ix^i,g(x)=\sum_{j=0}^{\infty}b_jx^j\in R[[x;\alpha]]$ satisfy $f(x)g(x)=0$, then there ...
Masoome Zahiri, Saeide Zahiri
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