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Aspect of pseudo-injectivity | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 5, 2013, Pages 277-284 | ||
| Author | ||
| Mehdi S. Abbas | ||
| Abstract | ||
| In this work, the notion of pseudo-injectivity relative to a class of submodules (namely, closed pseudo-injectivity) has been introduced and studied, which is a proper generalization of (IC-)pseudo-injective and extending module. This notion is closed under direct summands. Several properties and characterizations have been given.We show that over a hereditary pri-ring, every free module is extending. We discuss the question of when an closed-pseudo-injective module is IC-pseudo-injective, extending module | ||
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