| Title:
|
On $o$-ideals of groups of divisibility (English) |
| Author:
|
Močkoř, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
390-403 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| MSC:
|
13A05 |
| MSC:
|
13A18 |
| MSC:
|
16A08 |
| idZBL:
|
Zbl 0511.13001 |
| idMR:
|
MR626913 |
| DOI:
|
10.21136/CMJ.1981.101754 |
| . |
| Date available:
|
2008-06-09T14:44:42Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101754 |
| . |
| Reference:
|
[1] Bourbaki N.: Algèbre commutative.Hermann, Paris, 196L Zbl 1107.13002 |
| Reference:
|
[2] Conrad P.: Lattice ordered groups.Tulane University 1970. Zbl 0258.06011 |
| Reference:
|
[3] Gilmer R.: Multiplicative ideal theory.Queen's Papers, Lecture Notes No. 12, Kingston, 1968. Zbl 0155.36402, MR 0229624 |
| Reference:
|
[4] Gilmer R., Parker T.: Divisibility properties in semigroup rings.Mich. Math. J. 21 (1974), 65-86. Zbl 0285.13007, MR 0342635, 10.1307/mmj/1029001210 |
| Reference:
|
[4a] Gilmer R., Heinzer W. J.: Intersections of quotient rings of an integral domain.J. Math. Kyoto Univ. 7 (1967), 133-150. Zbl 0166.30601, MR 0223349, 10.1215/kjm/1250524273 |
| Reference:
|
[5] Jaffard P.: Les Systèmes d'Idéaux.Dunod, Paris, 1960. Zbl 0101.27502, MR 0114810 |
| Reference:
|
[6] Kaplansky L: Commutative rings.Allyn and Bacon, Boston 1970. Zbl 0203.34601, MR 0254021 |
| Reference:
|
[7] Maths E.: Torsion-free modules.Univ. of Chicago Press, Chicago, 111., 1972. MR 0344237 |
| Reference:
|
[8] Mockof J.: A realization of öf-groups.Czech. Math. J. 27 (1977), 296-312. MR 0447454 |
| Reference:
|
[9] Mockof J.: Prüfer d-groups.Czech. Math. J. 28 (1978), 127-139. MR 0491400 |
| Reference:
|
[10] Mockof J.: A realization of groups of divisibility.Comment. Math. Univ. Sancti Pauli, Tokyo, XXVI (1911), 61-75. MR 0466101 |
| Reference:
|
[11] Mockof J.: Topological groups of divisibility.(to appear in Colloq. Math.). MR 0522372 |
| Reference:
|
[12] Mockof J.: A note on approximation theorems.(to appear in Arch. Math.). |
| Reference:
|
[13] Mott J. L.: Convex directed subgroups of a group of divisibility.Can. J. Math. XXVI (3), (1974), 532-542. Zbl 0245.06008, MR 0364213, 10.4153/CJM-1974-049-2 |
| Reference:
|
[14] Mott J. L., Schexnayder M.: Exact sequences of semi-value groups.J. reine angew. Math., 283/284 (1976), 388-401. Zbl 0347.13001, MR 0404247 |
| Reference:
|
[15] Nakano T.: Rings and partly ordered systems.Math. Z. 99 (1967), 355-376. Zbl 0149.27702, MR 0215765, 10.1007/BF01111015 |
| Reference:
|
[16] Ohm J.: Semi-valuations and groups of divisibility.Can. J. Math. XXI (1969), 576-591. Zbl 0177.06501, MR 0242819, 10.4153/CJM-1969-065-9 |
| Reference:
|
[17] Ohm J., Pendleton R. L.: On integral domains of the form $\cap D\sb{P}, P$, P minimal.J. reine angew. Math. 241 (1970), 147-159. MR 0263793 |
| Reference:
|
[18] Rachůnek J.: Directed convex subgroups of ordered groups.Acta Univ. Palac. Olomucensis Fac. R. Nat. 41 (1973), 39-46. MR 0357273 |
| Reference:
|
[19] Rachůnek J.: Prime subgroups of ordered groups.Czech. Math. J. 24 (1974), 541 - 551. MR 0357274 |
| Reference:
|
[20] Sheldon P.: Two counterexamples involving complete integral closure in finite dimensional Prüfer domains.(to appear in J. Algebra). Zbl 0275.13008, MR 0332771 |
| . |
