| Title:
|
Primary elements in Prüfer lattices (English) |
| Author:
|
Jayaram, C. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
585-593 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study primary elements in Prüfer lattices and characterize $\alpha $-lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices. (English) |
| Keyword:
|
principal element |
| Keyword:
|
primary element |
| Keyword:
|
Prüfer lattice |
| MSC:
|
06F05 |
| MSC:
|
06F10 |
| MSC:
|
06F99 |
| MSC:
|
13A15 |
| idZBL:
|
Zbl 1012.06017 |
| idMR:
|
MR1923264 |
| . |
| Date available:
|
2009-09-24T10:54:34Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127746 |
| . |
| 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:
|
[8] C. Jayaram and E. W. Johnson: Almost principal element lattices.Internat. J. Math. Math. Sci. 18 (1995), 535–538. MR 1331954, 10.1155/S0161171295000676 |
| Reference:
|
[9] C. Jayaram and E. W. Johnson: $s$-prime elements in multiplicative lattices.Period. Math. Hungar. 31 (1995), 201–208. MR 1610262, 10.1007/BF01882195 |
| Reference:
|
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| Reference:
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[11] C. Jayaram and E. W. Johnson: Primary elements and prime power elements in multiplicative lattices.Tamkang J. Math. 27 (1996), 111–116. MR 1407005 |
| Reference:
|
[12] C. Jayaram and E. W. Johnson: Dedekind lattices.Acta. Sci. Math. (Szeged) 63 (1997), 367–378. MR 1480486 |
| Reference:
|
[13] C. Jayaram and E. W. Johnson: $\sigma $-elements in multiplicative lattices.Czechoslovak Math. J. 48(123) (1998), 641–651. MR 1658225, 10.1023/A:1022475220032 |
| Reference:
|
[14] E. W. Johnson and J. P. Lediaev: Representable distributive Noether lattices.Pacific J. Math. 28 (1969), 561–564. MR 0255456, 10.2140/pjm.1969.28.561 |
| Reference:
|
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| . |
