A new topology over the primary-like spectrum of a module

[EN] Let R be a commutative ring with identity and M a unitary R-module. The primary-like spectrum SpecL(M) is the collection of all primary-like submodules Q of  M, the recent generalization of primary ideals, such that M/Q is a primeful R-module. In this article, we topologies SpecL(M) with the patch-like topology, and show that when, SpecL(M) with the patch-like topology is a quasi-compact, Hausdorff, totally disconnected space.Rashedi, F. (2021). A new topology over the primary-like spectrum of a module. Applied General Topology. 22(2):251-257. https://doi.org/10.4995/agt.2021.13225OJS251257222M. Alkan and Y. Tiraş, Projective modules and prime submodules, Czechoslovak Math. J. 56 (2006), 601-611. https://doi.org/10.1007/s10587-006-0041-5H. Ansari-Toroghy and R. Ovlyaee-Sarmazdeh, On the prime spectrum of a module and Zariski topologies, Comm. Algebra 38 (2010), 4461-4475. https://doi.org/10.1080/00927870903386510A. Azizi, Prime submodules and flat modules, Acta Math. Sin. (Eng. Ser.) 23 (2007), 47-152. https://doi.org/10.1007/s10114-005-0813-0A. Barnard, Multiplication modules, J. Algebra 71 (1981), 174-178. https://doi.org/10.1016/0021-8693(81)90112-5J. Dauns, Prime modules, J. Reine Angew Math. 298 (1978), 156-181. https://doi.org/10.1515/crll.1978.298.156H. Fazaeli Moghimi and F. Rashedi, Zariski-like spaces of certain modules, Journal of Algebraic systems 1 (2013), 101-115.K. R. Goodearl and R. B. Warfield, An Introduction to Non-commutative Noetherian Rings (Second Edition), London Math. Soc. Student Texts 16, 2004. https://doi.org/10.1017/CBO9780511841699M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc. 137 (1969), 43-60. https://doi.org/10.1090/S0002-9947-1969-0251026-XC. P. Lu, A module whose prime spectrum has the surjective natural map, Houston J. Math. 33 (2007), 125-143.C. P. Lu, Saturations of submodules, Comm. Algebra 31 (2003), 2655-2673. https://doi.org/10.1081/AGB-120021886R. L. McCasland and P. F. Smith, Prime submodules of Noetherian modules, Rocky Mountain. J. Math. 23 (1993), 1041-1062. https://doi.org/10.1216/rmjm/118107254

Transport Properties in Ferromagnetic Josephson Junction between Triplet Superconductors

Charge and spin Josephson currents in a ballistic superconductor-ferromagnet-superconductor junction with spin-triplet pairing symmetry are studied using the quasiclassical Eilenberger equation. The gap vector of superconductors has an arbitrary relative angle with respect to magnetization of the ferromagnetic layer. We clarify the effects of the thickness of ferromagnetic layer and magnitude of the magnetization on the Josephson charge and spin currents. We find that 0-\pi transition can occur except for the case that the exchange field and d-vector are in nearly perpendicular configuration. We also show how spin current flows due to misorientation between the exchange field and d-vector.Comment: 6 pages, 8 figure

Learning Convolutional Neural Network For Face Verification

Convolutional neural networks (ConvNet) have improved the state of the art in many applications. Face recognition tasks, for example, have seen a significantly improved performance due to ConvNets. However, less attention has been given to video-based face recognition. Here, we make three contributions along these lines. First, we proposed a ConvNet-based system for long-term face tracking from videos. Through taking advantage of pre-trained deep learning models on big data, we developed a novel system for accurate video face tracking in the unconstrained environments depicting various people and objects moving in and out of the frame. In the proposed system, we presented a Detection-Verification-Tracking method (DVT) which accomplishes the long-term face tracking task through the collaboration of face detection, face verification, and (short-term) face tracking. An online trained detector based on cascaded convolutional neural networks localizes all faces appeared in the frames, and an online trained face verifier based on deep convolutional neural networks and similarity metric learning decides if any face or which face corresponds to the query person. An online trained tracker follows the face from frame to frame. When validated on a sitcom episode and a TV show, the DVT method outperforms tracking-learning-detection (TLD) and face-TLD in terms of recall and precision. The proposed system is tested on many other types of videos and shows very promising results. Secondly, as the availability of large-scale training dataset has a significant effect on the performance of ConvNet-based recognition methods, we presented a successful automatic video collection approach to generate a large-scale video training dataset. We designed a procedure for generating a face verification dataset from videos based on the long-term face tracking algorithm, DVT. In this procedure, the streams can be collected from videos, and labeled automatically without human annotation intervention. Using this procedure, we assembled a widely scalable dataset, FaceSequence. FaceSequence includes 1.5M streams capturing ~500K individuals. A key distinction between this dataset and the existing video datasets is that FaceSequence is generated from publicly available videos and labeled automatically, hence widely scalable at no annotation cost. Lastly, we introduced a stream-based ConvNet architecture for video face verification task. The proposed network is designed to optimize the differentiable error function, referred to as stream loss, using unlabeled temporal face sequences. Using the unlabeled video dataset, FaceSequence, we trained our network to minimize the stream loss. The network achieves verification accuracy comparable to the state of the art on the LFW and YTF datasets with much smaller model complexity. In comparison to VGG, our method demonstrates a significant improvement in TAR/FAR, considering the fact that the VGG dataset is highly puried and includes a small label noise. We also fine-tuned the network using the IJB-A dataset. The validation results show competitive verifiation accuracy compared with the best previous video face verification results

Phase-controlled proximity-effect in ferromagnetic Josephson junctions: calculation of DOS and electronic specific heat

We study the thermodynamic properties of a dirty ferromagnetic S$\mid$F$\mid$S Josephson junction with s-wave superconducting leads in the low-temperature regime. We employ a full numerical solution with a set of realistic parameters and boundary conditions, considering both a uniform and non-uniform exchange field in the form of a Bloch domain wall ferromagnetic layer. The influence of spin-active interfaces is incorporated via a microscopic approach. We mainly focus on how the electronic specific heat and density of states (DOS) of such a system is affected by the \textit{proximity effect}, which may be tuned via the superconducting phase difference. Our main result is that it is possible to \textit{strongly modify the electronic specific heat} of the system by changing the phase difference between the two superconducting leads from 0 up to nearly $\pi$ at low temperatures. An enhancement of the specific heat will occur for small values $h\simeq\Delta$ of the exchange field, while for large values of $h$ the specific heat is suppressed by increasing the phase difference between the superconducting leads. These results are all explained in terms of the proximity-altered DOS in the ferromagnetic region, and we discuss possible methods for experimental detection of the predicted effect.Comment: 7 pages, 5 figure

Application of Modified Bentonite by Using Polymer for Conformance Study

Nowadays, one of the most common problems that production engineers are facing is water production. Due to lower viscosity of water in compare to oil, water flows easier in porous medium and probes its way in to production. One of the methods to deal with this problem is to use blocking agents. Blocking agents function can vary from restricting water’s movement by decreasing permeability of rock to completely sealing off the water path. Many different products have been used as blocking agents including gels, polymers and foams. Hypothesis of this study is based on this fact that bentonite can swell and block the porous and subsequently reduce permeability of desired area. Objectives of this study are to examine modified bentonite’s potential as a blocking agent through examining its’ swelling ability in different situations in terms of salinity, ph and temperature and compare its properties with conventional bentonite. Results proved bentonite’s swelling capacity is a function of all mentioned parameters. pH displayed its’ optimum performance on pH around 7 and 12. In these two pH points bentonite can swell to its maximum capacity. Salinity however had negative effect on swelling. Salinity can minimize the swelling capacity up to 2.4 of its initial volume. Temperature on the other hand start effecting swelling ability around 60 . temperatures below 60 didn’t affect the swelling at all. For temperatures more than 60 , each 10 increase in temperature resulted in 4% increase in swelled volume of mud

Comparison of gabapentin and ketotifen in treatment of uremic pruritus in hemodialysis patients

Objectives: Uremic pruritus is a common problem in hemodialysis patients. Several treatments have been used for decreasing itching in these patients. Gabapentin and ketotifen are two drugs used for treating uremic patients.The aim of this study was to compare gabapentin and ketotifen in treatment of uremic pruritus in hemodialysis patients. Methods: In this double-blind randomized clinical trial, 52 hemodialysis patients with uremic pruritus referred to 5azarTeaching Hospital in Gorgan in 2013 were studied. Patients were randomly assigned to two groups of 26 subjects (groups G and K). In group G, patients treated with gabapentin capsules 100 mg daily for 2 weeks, and in Group K, patients treated with ketotifen 1 mg twice daily for 2 weeks. Before and at the end of study, pruritus severity was determined based on Shiratori›s severity scores. Collected data were analyzed by SPSS-21 statistical software. Results: There was no significant different between two groups in the age and sex. After two weeks of treatment, severity of pruritus was significantly reduced in both groups (88.4 in group G vs. 76.9 in group K). Gabapentin compared with ketotifen had a better effect on improving itching in the age group of 30-60 years and in males. 5 patients (19.2) in both groups suffered from drowsiness and dizziness, but no serious side effects were observed. Conclusions: The results showed that gabapentin and ketotifen significantly improved pruritus in hemodialysis patients, and no significant difference was observed between two groups. © 2016, Professional Medical Publications. All rights reserved