Original Research

Weakly-projective covers for left R-modules

A. Esterhuyse
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 8, No 3 | a880 | DOI: https://doi.org/10.4102/satnt.v8i3.880 | © 1989 A. Esterhuyse | This work is licensed under CC Attribution 4.0
Submitted: 14 March 1989 | Published: 14 March 1989

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A. Esterhuyse,, South Africa

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Abstract

All the necessary definitions are given in the introduction. Since it is not true that every left R-module possesses a projective cover, as is the case with injective hulls, it is the aim of this paper to consider a weakened form of a projective cover. In section 2 the concept of a weakly-projective cover is defined and developed. In section 3 this concept is compared with that of a quasi-projective cover. For example it is shown that in the case where a quasi-projective cover can he obtained from an existing projective cover, this quasi-projective cover is nothing more than a weakly-projective cover [Theorem 3.4].

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