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- W2277162757 abstract "In this paper, for some hereditary torsion theory (T, F) with associated torsion radical t, the concepts of t-finitely cogenerated (t-fcg) modules and t-finitely copresented (t-fcp) modules are introduced as duals of t-finitely generated modules and t-finitely presented modules, respectively, of M. F. Jones (1982). These concepts also generalize the notions of cofinitely generated and cofinitely related modules. using the idea of t-finitely cogenerated module, the notion of (n, t)-copresented modules is introduced for some non-negative integer n. This notion of (n, t)-copresented modules is dual to (n, t)-presented modules studied by Dor and Mbuntum (2015) and generalizes the notion of n-copresented modules by Bennis et al (2012). In this process, we characterize t-finitely copresented modules (t-fcp), (n, t)- copresented modules, (n, t)-cocoherent rings and (n, 0,t)-projective modules. Key Words : t-finitely cogenerated modules, t-finitely copresented modules, (n,t)-copresented modules, (n,t)-coherent rings, (n,0,t)-projective modules, (n,t)-cocoherent rings MSC2000:16D10, 16D80, 16E30, 16E60, 16S90, 18G05 Dans cet article, pour certaine theorie de torsion hereditaire (T, F) associee au radical t, les notions de modules t-finiment coengendre et modules t-finiment copresentes sont introduites comme des duaux de modules t-finiment engendre et modules t-finiment presentes de Jones (1982) respectivement. Ce notions generalisent aussi les concepts de modules cofiniment engendre et cofiniment relies. Se basant sur l’idee de module t-finiment coengendre, la notion de module (n, t) – copresente est introduite pour des entiers positifs n. Cette notion de module (n, t) – copresente est duale de celle de module (n, t) – presente consideree par Dor et Mbuntum (2015) et generalise la notion de module n –copresente de Bennis et al (2012). Dans cette optique, nous caracterisons les modules t-finiment copresentes, les modules (n, t) copresentes, les anneaux (n, t) – cocoherents et les modules (n,0,t)-projectifs. Mots Cles : modules t-finiment coengendre, modules t-finiment copeesentes, modules (n, t) –copresentes, modules (n,0,t)-projectifs, anneaux (n, t) – cocoherents" @default.
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- W2277162757 date "2015-01-01" @default.
- W2277162757 modified "2023-09-23" @default.
- W2277162757 title "(n,t)-Copresented Modules and (n,t)-Cocoherent Rings" @default.
- W2277162757 hasPublicationYear "2015" @default.
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