Geodesic
ON RADICAL FORMULA IN MODULES
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 657-668

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DOI

We will state some conditions under which if a quotient of a module M satisfies the radical formula of degree k (s.t.r.f of degree k), so does M. Especially, we will introduce some particular modules M′ such that M′ ⊕ M′′ s.t.r.f of degree k, when M′′ s.t.r.f of degree k. Furthermore, we will show that, under certain conditions, if the completion of a module M s.t.r.f of degree k, then there is a non-negative integer k′ such that M s.t.r.f. of degree k′. Moreover, we state a corrected version of Leung and Man's theorem (K. H. Leung and S. H. Man, On commutative Noetherian rings which satisfy the radical formula, Glasgow Math. J. 39 (1997), 285–293) on Noetherian rings that satisfies the radical formula.
DOI : 10.1017/S0017089511000243
Mots-clés : 13C99, 13A15, 13C13 
NIKSERESHT, A.; AZIZI, A. ON RADICAL FORMULA IN MODULES. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 657-668. doi: 10.1017/S0017089511000243
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     title = {ON {RADICAL} {FORMULA} {IN} {MODULES}},
     journal = {Glasgow mathematical journal},
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     year = {2011},
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     doi = {10.1017/S0017089511000243},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000243/}
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