| Title:
|
On minimal spectrum of multiplication lattice modules (English) |
| Author:
|
Ballal, Sachin |
| Author:
|
Kharat, Vilas |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
144 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
85-97 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi (M)$ of minimal prime elements of $M$ and study several properties of it. The compactness of $\pi (M)$ is characterized in several ways. Also, we investigate the interplay between the topological properties of $\pi (M)$ and algebraic properties of $M$. (English) |
| Keyword:
|
prime element |
| Keyword:
|
mimimal prime element |
| Keyword:
|
Zariski topology |
| MSC:
|
06D10 |
| MSC:
|
06E10 |
| MSC:
|
06E99 |
| MSC:
|
06F99 |
| idZBL:
|
Zbl 07088837 |
| idMR:
|
MR3934199 |
| DOI:
|
10.21136/MB.2018.0094-17 |
| . |
| Date available:
|
2019-03-21T12:32:22Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147640 |
| . |
| 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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| 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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| . |
