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Gorenstein injective sheaves

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Frontiers of Mathematics in China 2017年第1期12卷 87-95页

作者： Sergio ESTRADA alina iacob Departamento de Matem~ticas Universidad de Murcia Murcia 30100 Spain Department of Mathematical Sciences Georgia Southern University Statesboro GA 3O460 USA

We define Gorenstein injective quasi-coherent sheaves, and prove that the notion is local in case the scheme is Gorenstein. We also give a new characterization of a Gorenstein scheme in terms of the total acyclicity o... 详细信息

关键词： Gorenstein injective Noetherian scheme

Acyclic Complexes and Gorenstein Rings

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Algebra Colloquium 2020年第3期27卷 575-586页

作者： Sergio Estrada alina iacob Holly Zolt Departamento de Matematicas Universidad de MurciaMurcia 30100Spain Department of Mathematical Sciences Georgia Southern University StatesboroGA 30460-8093USA

For a given class of modules A,let A be the class of exact complexes having all cycles in A,and dw(A)the class of complexes with all components in *** by GL the class of Gorenstein injective *** prove that the following are equivalent over any ring R:every exact complex of injective modules is totally acyclic;every exact complex of Gorenstein injective modules is in every complex in dw(GL)is dg-Gorenstein *** analogous result for complexes of flat and Gorenstein flat modules also holds over arb计rary *** the ring is n-perfect for some integer n≥0,the three equivalent statements for flat and Gorenstein flat modules are equivalent with their counterparts for projective and projectively coresolved Gorenstein flat *** also prove the following characterization of Gorenstein *** R be a commutative coherent ring;then the following are equivalent:(1)every exact complex of FP-injective modules has all its cycles Ding injective modules;(2)every exact complex of flat modules is F-totally acyclic,and every R-modulc M such that M^(+)is Gorenstein flat is Ding injective;(3)every exact complex of injectives has all its cycles Ding injective modules and every R-module M such that is Gorenstein flat is Ding *** R has finite Krull dimension,statements(1)-(3)are equivalent to(4)R is a Gorenstein ring(in the sense of Iwanaga).

关键词： totally acyclic complex Gorenstein injective module Gorenstein projective module Gorenstein flat module Ding injective module

FPn-Injective, FPn-Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers

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Algebra Colloquium 2018年第2期25卷 319-334页

作者： Daniel Bravo Sergio Estrada alina iacob Instituto de Ciencias Fisicas y Matematicas Facultad de Ciencias Universidad Austral de Chile Valdivia Chile Departamento de Matematicas Universidad de Murcia Campus de Espinardo 30100 Murcia Spain Department of Mathematical Sciences Georgia Southern University Statesboro GA 30460 U.S.A

We prove that, for any n 〉 2, the classes of FPn-injective modules and of FPn-flat modules are both covering and preenveloping over any ring R. This includes the case of FP∞-injective and FP∞-flat modules （i.e., absolutely clean and, respectively, level modules）. Then we consider a generalization of the class of （strongly） Gorenstein flat modules, i.e., the （strongly） Gorenstein AC-flat modules （cycles of exact complexes of flat modules that remain exact when tensored with any absolutely clean module）. We prove that some of the properties of Gorenstein fiat modules extend to the class of Gorenstein AC-flat modules; for example, we show that this class is precovering over any ring R. We also show that （as in the case of Gorenstein flat modules） every Gorenstein AC-flat module is a direct summand of a strongly Gorenstein AC-flat module. When R is such that the class of Gorenstein AC-flat modules is closed under extensions, the converse is also true. Moreover, we prove that if the class of Gorenstein AC-flat modules is closed under extensions, then it is covering.

关键词： FPn-injective module FPn-flat module Ding injective module GorensteinAC-flat module

On-chip optical vortex-based nanophotonic detectors

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Light(Science & Applications) 2020年第1期9卷 920-921页

作者： alina Karabchevsky School of Electrical and Computer Engineering Ben-Gurion University of the NegevBeer-Sheva 8410501Israel

An on-chip optical vortex detector based on spin-Hall nanoslits is *** detector is sensitive to the spin of the incoming beam and can simultaneously record the polarization and phase *** the reported device relies on fast decaying surface plasmons,it represents an important step forward in the development of optical vortexbased integrated photonic devices.

关键词： vortex hough simultaneous

Ultra-broadband spectrometer on a chip of picometer scale resolution

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Light(Science & Applications) 2023年第10期12卷 2001-2002页

作者： alina Karabchevsky School of Electrical and Computer Engineering Ben-Gurion University of the NegevBeer-Sheva8410501Israel

A reconfigurable photonic integrated circuit was developed to operate as an ultra-broadband spectrometer on SiN chip resolving spectral lines with picometer precision and thermal stability of±2℃.

关键词： comet resolution stability

Perovskite beyond solar: toward novel developments of lasers and detectors for photonic circuits

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Light(Science & Applications) 2023年第7期12卷 1182-1183页

作者： alina Karabchevsky School of Electrical and Computer Engineering Ben-Gurion University of the NegevBeer-Sheva8410501Israel

Possessing intriguing optoelectronic properties,metal halide perovskites can serve as a large-scale platform for miniaturized photonic circuits with on-chip active devices such as lasers and detectors.

关键词： beyond lasers optoelectronic

Survived and disappeared intra-oceanic arcs of the Paleo-Asian Ocean: evidence from Kazakhstan

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National Science Review 2023年第2期10卷 49-68页

作者： Inna Safonova alina Perfilova LabEPOM Novosibirsk State University Igneous Petrology Lab Sobolev Institute of Geology and Mineralogy 3. Paleovolcanism and Geodynamics LabZavaritskiy Institute of Geology and Geochemistry Faculty of Geosciences and Environmental Engineering South-West Jiaotong University

This paper reviews published and presents new data on U-Pb detrital zircon ages,and petrographic,geochemical and isotope(Sm-Nd,Lu-Hf) compositions obtained from greywacke sandstones of Kazakhstan in order to reconstruct fossil intra-oceanic arcs that once existed at Pacific-type convergent margins of the Paleo-Asian Ocean(PAO) in Paleozoic *** focus on orogenic belts of central Kazakhstan(Itmurundy and Tekturmas) and eastern Kazakhstan(Zharma and Char) in the western Central Asian Orogenic *** orogenic belts host accretionary complexes with greywacke sandstones of early Paleozoic(central Kazakhstan) and middle-late Paleozoic(eastern Kazakhstan) ***,we evaluate general perspectives for studying sandstones to reconstruct survived and disappeared magmatic arcs,taking into account episodes of subduction *** we discuss the analytical data from sandstones to make conclusions about the ages and formation settings of their igneous protoliths and define maximum deposition ***,we discuss the role of serpentinite melanges in tectonic *** argue that sandstones hosted by accretionary complexes are typically greywackes deposited close to their igneous sources and buried *** provenances of the studied greywacke sandstones of central and eastern Kazakhstan were dominated by mafic to andesitic igneous protoliths derived from juvenile mantle *** igneous rocks in the provenances were emplaced in an intra-oceanic arc *** sandstones were deposited in fore-arc/trench basins or,to a lesser degree,in back-arc *** data from both sandstones and serpentinite melanges reconstruct middle-late-Cambrian,Ordovician,late-D evonian and Carboniferous arcs of the western *** middle-late Cambrian arcs were fully destroyed by subduction erosion,whereas the Ordovician and Carboniferous arcs *** late-D evonian arcs were also eroded,but *** the early and late Paleozoic active margins of the PAO were chara

关键词： Central Asian Orogenic belt Paleo-Asian Ocean Paleozoic subduction erosion greywacke sandstones serpentinite mélange

Single-shot circular dichroism spectroscopy

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Light(Science & Applications) 2022年第6期11卷 1021-1022页

作者： alina Karabchevsky Ben-Gurion University of the Negev School of Electrical and Computer EngineeringDepartment of Photonics and ElectroopticsBeer-Sheva 8410501Israel

Circular dichroism spectroscopy can be optimized to measure the scattering circular dichroism response of a single chiral nanostructure with a single shot.

关键词： circular dichroism spectroscopy

Methodology for local correction of the heights of global geoid models to improve the accuracy of GNSS leveling

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Geodesy and Geodynamics 2024年第1期15卷 42-49页

作者： Stepan Savchuk alina Fedorchuk Institute of Navigation Military University of AviationDeblinPoland Department of Higher Geodesy and Astronomy Lviv Polytechnic National UniversityLvivUkraine

At present,one of the methods used to determine the height of points on the Earth’s surface is Global Navigation Satellite System(GNSS)*** is possible to determine the orthometric or normal height by this method only if there is a geoid or quasi-geoid height model *** paper proposes the methodology for local correction of the heights of high-order global geoid models such as EGM08,EIGEN-6C4,GECO,and XGM2019e_*** methodology was tested in different areas of the research field,covering various relief *** dependence of the change in corrected height accuracy on the input data was analyzed,and the correction was also conducted for model heights in three tidal systems:"tide free","mean tide",and"zero tide".The results show that the heights of EIGEN-6C4 model can be corrected with an accuracy of up to 1 cm for flat and foothill terrains with the dimensionality of 1°×1°,2°×2°,and 3°×3°.The EGM08 model presents an almost identical *** EIGEN-6C4 model is best suited for mountainous relief and provides an accuracy of 1.5 cm on the 1°×1°*** height correction accuracy of GECO and XGM2019e_2159 models is slightly poor,which has fuzziness in terms of numerical fluctuation.

关键词： GNSS leveling Global geoid model Gravity anomaly Weight data Correcting data