Erratum

This article refers to:

Prime Modules and Submodules

“Prime Modules and Submodules” by Yücel Tiras¸ and Mustafa Alkan, Comm. Algebra®, 31(11), 2003, pp. 5253–5261.

p. 5254 The sentence “if N is any submodule….” has to be corrected as follows:

If N is any submodule of M, following (Naoum, 1996), we say that…

p. 5255 Theorem 2.2 has to be corrected as follows:

Theorem 2.2 (Tιras et al., 2000….)

Any dense submodules of a finitely generated multiplication R-module is also a finitely generated multiplication R-module.

p. 5256 In the proof of Theorem 2.2

	The sentence “clearly where ….” has to be correct as follows: Clearly where, by Tιras et al. (2000),
	The sentence “Thus …” has to corrected as follows: Thus by Tιras et al. (2000), .
	The sentence “Since any finitely generated dense submodule….” has to be corected as follows: Since any finitely generated dense submodule of a multiplication R-module is also a multiplication module (see for example, Tιras et al., 2000), N is a multiplication module.

p. 5258 The sentence “if R is a Dedekind domain (see Jenkins and Smith, 1992; Sharif and Sharif, preprint)” has to be corrected as follows:

If R is a Dedekind domain (see Jenkins and Smith, 1992; Sharif et al., 1996).

p. 5259 The sentence “Now we say that….” has to be corrected as follows:

Now, following (Smith, 2001), we say that…

The sentence “Since the following lemma is…” has to be corrected as follows:

Since the following lemma is known and clear we omit the proof.

p. 5261 The reference “Sharif, H., Sharifi, Y., On a conjecture of Jenkins and Smith, Preprint” has to be corrected as follows:

Sharif, H., Sharifi, Y., Namazi, S. (1996). Rings satisfying the radical formula. Acta. Math. Hungar 71(1–2):103–108.