MODULES OVER PRÜFER DOMAINS WHICH SATISFY THE RADICAL FORMULA
Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 127-131

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we prove that if R is a Prüfer domain, then the R-module R⊕ R satisfies the radical formula.
DOI : 10.1017/S0017089507003485
Mots-clés : 13A15, 13C99, 13F05, 13F30
BUYRUK, DILEK; PUSAT-YILMAZ, DILEK. MODULES OVER PRÜFER DOMAINS WHICH SATISFY THE RADICAL FORMULA. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 127-131. doi: 10.1017/S0017089507003485
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[1] 1.Gilmer, R., Multiplicative Ideal Theory, Queen's Papers Pure Appl. Math. (Kingston, Ontario, 1992). Google Scholar

[2] 2.Jenkins, J. and Smith, P. F., On the prime radical of a module over a commutative ring, Comm. Algebra 20 (1992), 3593–3602. Google Scholar | DOI

[3] 3.Leung, Ka Hin and Man, S. H., On commutative Noetherian rings which satisfy the radical formula, Glasgow Math. J. 39 (1997), 285–293. Google Scholar | DOI

[4] 4.Man, S. H., One dimensional domains which satisfy the radical formula are Dedekind domains, Arch. Math. (Basel) 66 (1996), 276–279. Google Scholar | DOI

[5] 5.Mc Casland, R. L. and Moore, M. E., On radicals of submodules, Comm. Algebra 19 (5) (1991), 1327–1341. Google Scholar | DOI

[6] 6.Sharif, H., Sharifi, Y. and Namazi, S., Rings satisfying the radical formula, Acta Math. Hungar. 71 (1996), 103–108. Google Scholar | DOI

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