Zobrazeno 1 - 10
of 6 672
pro vyhledávání: '"A. A. Javan"'
We study in-depth those rings $R$ for which, there exists a fixed $n\geq 1$, such that $u^n-1$ lies in the subring $\Delta(R)$ of $R$ for every unit $u\in R$. We succeeded to describe for any $n\geq 1$ all reduced $\pi$-regular $(2n-1)$-$\Delta$U rin
Externí odkaz:
http://arxiv.org/abs/2411.09416
Autor:
Gevaert, Caroline M., Pedro, Alexandra Aguiar, Ku, Ou, Cheng, Hao, Chandramouli, Pranav, Javan, Farzaneh Dadrass, Nattino, Francesco, Georgievska, Sonja
Deep Learning methods are notorious for relying on extensive labeled datasets to train and assess their performance. This can cause difficulties in practical situations where models should be trained for new applications for which very little data is
Externí odkaz:
http://arxiv.org/abs/2411.00684
With the emergence of large-scale pre-trained neural networks, methods to adapt such "foundation" models to data-limited downstream tasks have become a necessity. Fine-tuning, preference optimization, and transfer learning have all been successfully
Externí odkaz:
http://arxiv.org/abs/2410.08194
In regard to our recent studies of rings with (strongly, weakly) nil-clean-like properties, we explore in-depth both the structural and characterization properties of those rings whose elements that are not units are weakly nil-clean. Group rings of
Externí odkaz:
http://arxiv.org/abs/2407.10232
We systematically study those rings whose non-units are a sum of an idempotent and a nilpotent. Some crucial characteristic properties are completely described as well as some structural results for this class of rings are obtained. This work somewha
Externí odkaz:
http://arxiv.org/abs/2405.09961
We consider in-depth and characterize in certain aspects those rings whose non-units are strongly nil-clean in the sense that they are a sum of commuting nilpotent and idempotent. In addition, we examine those rings in which the non-units are uniquel
Externí odkaz:
http://arxiv.org/abs/2404.10651
Internet of Things (IoT) devices are capable of allowing for far-reaching access to and evaluation of patient data to monitor health and diagnose from a distance. An electronic healthcare system that checks patient data, prepares medicines and provid
Externí odkaz:
http://arxiv.org/abs/2403.08068
Publikováno v:
Journal of Algebra and its Applications (2025)
We define and explore in-depth the notion of {\it UQ rings} by showing their important properties and by comparing their behavior with that of the well-known classes of UU rings and JU rings, respectively. Specifically, among the other established re
Externí odkaz:
http://arxiv.org/abs/2402.15455
We study those rings in which all invertible elements are weakly nil-clean calling them {\it UWNC rings}. This somewhat extends results due to Karimi-Mansoub et al. in Contemp. Math. (2018), where rings in which all invertible elements are nil-clean
Externí odkaz:
http://arxiv.org/abs/2401.11461
We define two types of rings, namely the so-called CSNC and NCUC that are those rings whose clean elements are strongly nil-clean, respectively, whose nil-clean elements are uniquely clean. Our results obtained in this paper somewhat expand these obt
Externí odkaz:
http://arxiv.org/abs/2401.02189