| Title:
|
Some remarks on Lorenzen $r$-group of partly ordered groups (English) |
| Author:
|
Močkoř, Jiří |
| Author:
|
Kontolatou, Angeliki |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
537-552 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| MSC:
|
13A05 |
| MSC:
|
13A15 |
| MSC:
|
20F60 |
| MSC:
|
20M12 |
| MSC:
|
20M14 |
| idZBL:
|
Zbl 0879.20031 |
| idMR:
|
MR1408304 |
| DOI:
|
10.21136/CMJ.1996.127314 |
| . |
| Date available:
|
2009-09-24T09:59:32Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127314 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[4] Borewicz-Shafarevicz: Number Theory.Academic Press, New York, 1966. MR 0195803 |
| Reference:
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[5] Chouinard, L.G.: Krull semigroups and divisor class group.Can. J. Math. 33 (1981), 1459-1468. MR 0645239, 10.4153/CJM-1981-112-x |
| Reference:
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[6] Geroldinger, A., Močkoř, J.: Quasi divisor theories and generalizations of Krull domains.to appear in J. Pure Appl. Algebra. MR 1354993 |
| Reference:
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[7] Gilmer, R.: Multiplicative Ideal Theory.M. Dekker, Inc., New York, 1972. Zbl 0248.13001, MR 0427289 |
| Reference:
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[8] Griffin, M.: Rings of Krull type.J. reine angew. Math. 229 (1968), 1–27. Zbl 0173.03504, MR 0220726 |
| Reference:
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[9] Griffin, M.: Some results on v-multiplication rings.Can. J. Math. 19 (1967), 710-722. Zbl 0148.26701, MR 0215830, 10.4153/CJM-1967-065-8 |
| Reference:
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[10] Halter-Koch, F.: Ein Approximationssatz für Halbgruppen mit Divisorentheorie.Results in Math. 19 (1991), 74–82. Zbl 0742.20060, MR 1091957, 10.1007/BF03322417 |
| Reference:
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[11] Halter-Koch, F., Geroldinger, A.: Realization theorems for semigroups with divisor theory.Semigroup Forum 201 (1991), 1–9. MR 1141841 |
| Reference:
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[12] Jaffard, P.: Les systémes d’idéaux.Dunod, Paris, 1960. Zbl 0101.27502, MR 0114810 |
| Reference:
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[13] Lorenzen, P.: Abstrakte Begründung der multiplikativen Idealtheorie.Math. Z. 45 (1993), 533–553. MR 0000604, 10.1007/BF01580299 |
| Reference:
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[14] Močkoř, J.: Groups of Divisibility.D.Reidl Publ. Co., Dordrecht, 1983. MR 0720862 |
| Reference:
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[15] Močkoř, J., Alajbegovic, J.: Approximation Theorems in Commutative Algebra.Kluwer Academic Publ., Dordrecht, 1992. MR 1207134 |
| Reference:
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[16] Močkoř, J., Kontolatou, A.: Groups with quasi divisor theory.Comm. Math. Univ. St. Pauli, Tokyo 42 (1993), 23–36. MR 1223185 |
| Reference:
|
[17] Močkoř, J., Kontolatou, A.: Divisor class groups of ordered subgroups.Acta Math. Inf. Univ. Ostrav. 1 (1993). MR 1250925 |
| Reference:
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[18] Močkoř, J., Kontolatou, A.: Quasi-divisors theory of partly ordered groups.Grazer Math. Ber. 318 (1992), 81–98. MR 1227404 |
| Reference:
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[19] Močkoř, J.: $t$-Valuation and theory of quasi-divisors,.to appear. MR 1466097 |
| Reference:
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[20] Ohm, J.: Semi-valuations and groups of divisibility.Can. J. Math. 21 (1969), 576-591. Zbl 0177.06501, MR 0242819, 10.4153/CJM-1969-065-9 |
| Reference:
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[21] Skula, L.: Divisorentheorie einer Halbgruppe.Math. Z. 114 (1970), 113–120. Zbl 0177.03202, MR 0262401 |
| Reference:
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[22] Skula, L.: On $c$-semigroups.Acta Arith. 31 (1976), 247–257. Zbl 0303.13014, MR 0444817, 10.4064/aa-31-3-247-257 |
| Reference:
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[23] Zafrullah, M.: Well behaved prime $t$-ideals.Jour. Pure and Appl. Algebra 65 (1990), . Zbl 0705.13001, MR 1068255 |
| . |
