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SM ISO690:2012 JARDAN, Jardan. On the left coquotient with respect to meet for pretorsions in modules. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 95-98. ISBN 978-9975-71-915-5. |
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Conference of Mathematical Society of the Republic of Moldova 4, 2017 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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Pag. 95-98 | ||||||
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In [2] the operation of left coquotient with respect to meet for preradicals of R-Mod is defined. In the present short notice the particular case of pretorsions of R-Mod is considered. We prove that for pretorsions the studied operation coincides with the operation (called right residual ) introduced and investigated by J.S.Golan ([1]) in the terms of preradical filters of R. For that it is necessary to show the concordance of the studied operation with the transition r Er from pretorsions of R-Mod to the preradical filters of the ring R. |
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Cuvinte-cheie module, pretorsion, filter, left coquotient |
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