| Title:
|
Direct summands of Goldie extending elements in modular lattices (English) |
| Author:
|
Shroff, Rupal |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
3 |
| Year:
|
2022 |
| Pages:
|
359-368 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct summand $c$ of $a$ such that $b \wedge c$ is essential in both $b$ and $c$. Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained. (English) |
| Keyword:
|
modular lattice |
| Keyword:
|
direct summand |
| Keyword:
|
Goldie extending element |
| MSC:
|
06B10 |
| MSC:
|
06C05 |
| idZBL:
|
Zbl 07584130 |
| idMR:
|
MR4482311 |
| DOI:
|
10.21136/MB.2021.0181-20 |
| . |
| Date available:
|
2022-09-05T09:38:41Z |
| Last updated:
|
2022-12-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151013 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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|
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| . |
