WHEN PRIME SUBMODULES ARE PRIME IDEALS?

Author:

KHALIFA MOHAMED,

Abstract

"We study commutative ring extensions R ⊂ S in which every ideal of S that is a prime R-submodule of S is prime."

Publisher

Editura Academiei Romane

Reference8 articles.

1. [1] A. Ayache and A. Jaballah, Residually algebraic pair. Math. Z. 225 (1997), 49-65.

2. "[2] M. Ben Nasr and N. Jarboui, Intermediate domains between a domain and some intersection of its localizations. Boll. Unione Mat. Ital. 5 (2002), 3, 701-713."

3. "[3] M. Fontana, J.A. Huckaba, and I.J. Papick, Pr¨ufer Domains. Pure Appl. Math. 203, Marcel Dekker, New York, 1997."

4. "[4] J. Jenkins and P.F. Smith, On the prime radical of a module over a commutative ring. Comm. Algebra 20 (1992), 3593-3602."

5. "[5] I. Kaplansky, Commutative Rings. Revised edition, Univ. of Chicago Press, Chicago, 1974."

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