| Title:
|
On module classes of generalized semiperfect modules (English) |
| Author:
|
Öztürk Sözen, Esra |
| Author:
|
Eryılmaz, Figen |
| Author:
|
Nişancı Türkmen, Burcu |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
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2464-7136 (online) |
| Volume:
|
151 |
| Issue:
|
2 |
| Year:
|
2026 |
| Pages:
|
249-272 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce Rad-cc-supplemented module which generalizes the general concept of co-coatomically-supplemented modules; a module $W$ is Rad-cc-supplemented if each co-coatomic submodule of $W$ has a Rad-supplement in $W$. In Section 2, we present various properties of these modules. In Section 3, we examine the characterization of modules over commutative domains. In Section 4, we explore the concept of $\oplus $-Rad-cc-supplemented modules, which generalizes a generalized notion of $\oplus $-co-coatomically-supplemented modules in R. Alizade, S. Güngör (2018). A module $W$ is $\oplus $-Rad-cc-supplemented if each co-coatomic $A\leq W$ is of a Rad-supplement which is a direct summand of $W$. In the concluding section of this paper, we investigate into its characteristics by introducing Rad-cc-semiperfect modules. (English) |
| Keyword:
|
co-coatomic submodules |
| Keyword:
|
Rad-cc-supplemented modules |
| Keyword:
|
totally Rad-cc-supplemented modules |
| MSC:
|
16D10 |
| MSC:
|
16D99 |
| DOI:
|
10.21136/MB.2025.0053-24 |
| . |
| Date available:
|
2026-05-19T08:22:55Z |
| Last updated:
|
2026-05-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153623 |
| . |
| Reference:
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| Reference:
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