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New results on Cll and C12 lattices with applications to Grothendieck categories and torsion theories

Frontiers of mathematics in China 2016年第4期11卷 815-828页

作者： Toma ALBU mihai iosif Simion Stoilow Institute of mathematics of the Romanian Academy Research Unit 5 P.O. Box 1-764 RO-010145 Bucharest 1 Romania Bucharest University Department of Mathematics Academiei Str. 14RO-010014 Bucharest 1 Romania

In this paper, which is a continuation of our previous paper [T. Albu, m. iosif, A. Tercan, The conditions （Ci） in modular lattices, and applications, J. Algebra Appl. 15 （2016）, http： ***/10.1142/S0219498816500018], we investigate the latticial counterparts of some results about modules satisfying the conditions （Cll） or （C12）. Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories.

关键词： modular complement lattice C12 theory element lattice upper closed element lattice Goldie dimension continuous lattice essential element uniform lattice condition (Ci) Cll socle Grothendieck category torsion

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Perovskite type lanthanum manganite：morpho-structural analysis and electrical investigations

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Journal of Rare Earths 2018年第5期36卷 499-504页

作者： Paula Sfirloaga maria Poienar iosif m.laescu Antoanetta Lungu Paulina Vlazan Institute for Research and Development in Electrochemistry and Condensed matter P. Andronescu Street No.1 300224 Timisoara Romania West University of Timisoara Vasile Parvan 4 300223 Romania

Perovskite-type oxides of LamnO3 were synthesized by means of the sol-gel method, in the presence of citric acid as gelling agent. The precursors used were mn（NO3）2·H2O, La2O3, and NaOH,mixed in the stoichiometric ratio to obtain perovskite materials. The obtained gel was heat-treated at 400, 600 and 800 ℃ respectively, for 6 h. X-ray diffraction and FT-IR spectroscopy were used to analyze the phase transformation as a function of temperature, and the Rietveld refinement was used in order to characterize the materials obtained structurally. The average crystallite size of the products was calculated from XRD data and the average particle size was measured from the TEm micrographs. At 600 ℃, the synthesized compound is well-crystallized, showcases a perovskite structure（Pm-3m space group）, and exhibits uniform and homogeneous hexagonally-shaped particles, with sizes in the 20-50 nm *** impedance measurements in the 20-2 × 10^6 Hz frequency range were carried out at different temperatures（26-115 ℃）, and the electrical conduction mechanism is discussed.

关键词： Rare earths Sol-gel method Physico-chemical properties Electrical investigations

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