Research Article
Year 2026,
Volume: 18 Issue: 1, 1 - 10, 23.02.2026
Abstract
The objective of this paper is to study the question of when modules have ADS$^{\circledast}$-preenvelopes and covers. It is proved that every ADS$^{\circledast}$ module over a ring $R$ is projective if and only if every right $R$-module has an ADS$^{\circledast}$-(pre)envelope (an ADS$^{\circledast}$-(pre)cover). We also introduce a generalization of ADS$^{\circledast}$ modules in terms of their invariance under certain automorphisms of their envelopes.
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There are 13 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebra and Number Theory |
| Journal Section | Research Article |
| Authors | |
| Submission Date | May 2, 2025 |
| Acceptance Date | June 27, 2025 |
| Publication Date | February 23, 2026 |
| DOI | https://doi.org/10.47000/tjmcs.1689839 |
| IZ | https://izlik.org/JA47ER43EE |
| Published in Issue | Year 2026 Volume: 18 Issue: 1 |