Title:
|
$G$-supplemented property in the lattices (English) |
Author:
|
Ebrahimi Atani, Shahabaddin |
Language:
|
English |
Journal:
|
Mathematica Bohemica |
ISSN:
|
0862-7959 (print) |
ISSN:
|
2464-7136 (online) |
Volume:
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147 |
Issue:
|
4 |
Year:
|
2022 |
Pages:
|
525-545 |
Summary lang:
|
English |
. |
Category:
|
math |
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Summary:
|
Let $L$ be a lattice with the greatest element $1$. Following the concept of generalized small subfilter, we define $g$-supplemented filters and investigate the basic properties and possible structures of these filters. (English) |
Keyword:
|
filter |
Keyword:
|
$g$-small |
Keyword:
|
$g$-supplemented |
Keyword:
|
lattice |
MSC:
|
06C05 |
MSC:
|
06C15 |
idZBL:
|
Zbl 07655825 |
idMR:
|
MR4512172 |
DOI:
|
10.21136/MB.2022.0124-20 |
. |
Date available:
|
2022-11-16T11:18:25Z |
Last updated:
|
2023-04-11 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151097 |
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Reference:
|
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Reference:
|
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Reference:
|
[3] Clark, J., Lomp, C., Vanaja, N., Wisbauer, R.: Lifting Modules: Supplements and Projectivity in Module Theory.Frontiers in Mathematics. Birkhäuser, Basel (2006). Zbl 1102.16001, MR 2253001, 10.1007/3-7643-7573-6 |
Reference:
|
[4] Atani, S. Ebrahimi, Chenari, M.: Supplemented property in the lattices.Serdica Math. J. 46 (2020), 73-88. MR 4124062 |
Reference:
|
[5] Atani, S. Ebrahimi, Hesari, S. Dolati Pish, Khoramdel, M., Bazari, M. Sedghi Shanbeh: A semiprime filter-based identity-summand graph of a lattice.Matematiche 73 (2018), 297-318. Zbl 07142702, MR 3884546, 10.4418/2018.73.2.5 |
Reference:
|
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Reference:
|
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Reference:
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Reference:
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Reference:
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Reference:
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