On the left coquotient with respect to meet for pretorsions in modules
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2023-05-04 20:36
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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
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

On the left coquotient with respect to meet for pretorsions in modules

Pag. 95-98

Jardan Jardan
 
Technical University of Moldova
 
 
Disponibil în IBN: 3 octombrie 2017


Rezumat

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.

Cuvinte-cheie
module, pretorsion, filter,

left coquotient