Erratum to “Strongly Prime Submodules” (Comm. Algebra, 37(7), 2009, 2193–2199)

This article refers to:

Strongly Prime Submodules

Article title: “Strongly Prime Submodules”

Authors: A. R. Naghipour

Journal: Communications in Algebra

Bibliometrics: Volume 37, Issue 7, pages 2193–2199

DOI: 10.1080/00927870802467239

The following example shows that the implication (2) ⇒ (1) of [1, Theorem 1.7] is incorrect.

Example

Let V be a vector space of a field F, with dim  _F V ≥ 2, and let C = (0). By [1, Proposition 1.3], we have s-rad(C) = C. But C is not a strongly semiprime subspace of V.