A study of the charge conjugation and parity ($CP$) properties interaction between Higgs boson $\tau$-leptons is presented. The based on a measurement $CP$-sensitive angular observables defined by visible decay products $\tau$-lepton decays, where at least one hadronic required. analysis uses 139 fb$^{-1}$ proton$-$proton collision data recorded centre-of-mass energy $\sqrt{s}= 13$ TeV with ATL...

BACKGROUND Progressive supranuclear palsy (PSP) is a neurodegenerative tauopathy which is primarily defined by the deposition of tau into globose-type neurofibrillary tangles (NFT). Tau in its native form has important functions for microtubule dynamics. Tau undergoes alternative splicing in exons 2, 3, and 10 which results in six different isoforms. Products of splicing on exon 10 are the most...

In this paper, all rings are associative with identity and all modules are unital left modules unless otherwise specified. Let R be a ring and M a module. N ≤M will mean N is a submodule of M. A submodule E of M is called essential in M (notation E ≤e M) if E∩A = 0 for any nonzero submodule A of M. Dually, a submodule S of M is called small in M (notation S M) if M = S+T for any proper submodul...

In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zero submodule of M2 contains a non-zero δ-cosingular submodule.

In the present work, we investigate effects of disorder on reversal time ($\tau$) classical anisotropic Heisenberg ferromagnets in three dimensions by means Monte Carlo simulations. Starting from pure system, our analysis suggests that $\tau$ increases with increasing anisotropy strength. On other hand, for case randomly distributed anisotropy, generated various statistical distributions, a set...

In this article, we develop the tool of saturation in the context of primary-like submodules of modules. We are particularly interested in relationships among the saturation of a primary-like submodule satisfying the primeful property and its radical. Furthermore, we provide sufficient conditions involving saturation and torsion arguments under which the radical of such a submodule is prime.

Let R be a commutative ring with identity and let M be a torsion free R-module. Several characterizations of distributive modules are investigated. Indeed, among other equivalent conditions, we prove that M is distributive if and only if any primal submodule of M is irreducible, and, if and only if each submodule of M can be represented as an intersection of irreducible isolated components. MSC...

Tauopathies are neurodegenerative diseases characterized by the aggregation of tau protein. These pathologies exhibit a wide variety of clinical and anatomo-pathological presentations, which may result from different pathological mechanisms. Although tau inclusions are a common feature in all these diseases, recent evidence instead implicates small oligomeric aggregates as drivers of tau-induce...

We have investigated at the oligomeric level interactions between Aβ(25-35) and Tau(273-284), two important fragments of the amyloid-β and Tau proteins, implicated in Alzheimer's disease. We are able to directly observe the coaggregation of these two peptides by probing the conformations of early heteroligomers and the macroscopic morphologies of the aggregates. Ion-mobility experiment and theo...

let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.