Abstract
We introduce the notion of almost pseudo-injective modules (AP-injective modules), which generalizes the idea of pseudo-injective and almost injective modules. In support, we provide some examples. Here, we investigate properties of almost pseudo-injective modules related to uniform modules. For any two uniform right R-modules M and N, M is AP-N-injective if and only if for every monomorphism (Formula presented).
Original language | English |
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Pages (from-to) | 8-12 |
Number of pages | 5 |
Journal | Palestine Journal of Mathematics |
Volume | 12 |
Issue number | Special Issue III |
State | Published - 2023 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© Palestine Polytechnic University-PPU 2023.
Keywords
- Pseudo-injective modules
- almost injective modules
- co-Hopfian modules
- uniform modules