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Title: On weakly projective modules
Authors: Jain, S. K.
Lopez-Permouth, S. R.
Saleh, Mohammad
Keywords: Projective modules (Algebra)
Issue Date: 1992
Source: 9
Abstract: A module M is said to be weakly projective If and only If It has a projective cover 7Г: P (M)—» M and every map from P {M) Into a finitely generated (free) module can be factored through M via an eplmorphlsm (not necessarily equal to 7г). In this paper we Investigate the basic properties of weakly projective modules. These properties are dual to those known for weakly Injectlve modules. In particular, we show that over a right perfect ring R there exists a right module К such that for any other module M, the direct sum M© К Is ...
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