ON GENERALIZATION OF INJECTIVE MODULES

Authors

  • mahmoud ahmed kamal Emeritus Prof., Mathematics Department., Ain shams university, faculty of Education.

DOI:

https://doi.org/10.24297/jam.v10i3.1524

Keywords:

CK-injective modules, C-injective modules, CI-injective mod- ules, continuous modules.

Abstract

Here we introduce the concept of CK-N-injectivity as a gen-eralization of N-injectivity. We give a homomorphism diagram representation of such concept, as well as an equivalent condition in terms of module decompositions. The concept CK-N-jectivity is also dealt with, as a generalization of CK-N-injectivity. We introduce a generalization of N-injectivity, namely C-N-injectivity. Its generalization CI-N-injectivity (given in [8] as C-N-injectivity).In our study of C-N-injectivity, we discovered some mistake results (given in [1]as IC-Pseudo-injecyivity), and we dealt with their corrections. Finally we turn our attention to a more generalization of injective modules, namely the generalized extending modules (or module with (C1* )) and obtained some important results.

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Author Biography

mahmoud ahmed kamal, Emeritus Prof., Mathematics Department., Ain shams university, faculty of Education.

Mathematics Department

Emeritus Prof, at Math. Dept.

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Published

2015-03-18

How to Cite

kamal, mahmoud ahmed. (2015). ON GENERALIZATION OF INJECTIVE MODULES. JOURNAL OF ADVANCES IN MATHEMATICS, 10(3), 3309–3318. https://doi.org/10.24297/jam.v10i3.1524

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Section

Articles