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Communications in Algebra Volume 25, 1997 - Issue 11

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Original Articles

An Equational Characterization of Quasi-injective Modules

A. Laradji Department of Mathematical Sciences, King Fahd University, Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

Pages 3545-3549 | Received 01 May 1996, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927879708826069

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Abstract

Injective modules are known to be precisely those over which every compatible system of linear equations is solvable. In this note, we introduce the concept of strong compatibility to give an analogous, but not generally known characterization of quasi-injectivity.

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