Geodesic
On $o$-ideals of groups of divisibility
Czechoslovak Mathematical Journal, Tome 31 (1981) no. 3, pp. 390-403
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1981.101754
Classification : 06F20, 13A05, 13A18, 16A08 
@article{10_21136_CMJ_1981_101754,
     author = {Mo\v{c}ko\v{r}, Ji\v{r}{\'\i}},
     title = {On $o$-ideals of groups of divisibility},
     journal = {Czechoslovak Mathematical Journal},
     pages = {390--403},
     year = {1981},
     volume = {31},
     number = {3},
     doi = {10.21136/CMJ.1981.101754},
     mrnumber = {626913},
     zbl = {0511.13001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101754/}
}
TY  - JOUR
AU  - Močkoř, Jiří
TI  - On $o$-ideals of groups of divisibility
JO  - Czechoslovak Mathematical Journal
PY  - 1981
SP  - 390
EP  - 403
VL  - 31
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101754/
DO  - 10.21136/CMJ.1981.101754
LA  - en
ID  - 10_21136_CMJ_1981_101754
ER  - 
%0 Journal Article
%A Močkoř, Jiří
%T On $o$-ideals of groups of divisibility
%J Czechoslovak Mathematical Journal
%D 1981
%P 390-403
%V 31
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101754/
%R 10.21136/CMJ.1981.101754
%G en
%F 10_21136_CMJ_1981_101754
Močkoř, Jiří. On $o$-ideals of groups of divisibility. Czechoslovak Mathematical Journal, Tome 31 (1981) no. 3, pp. 390-403. doi: 10.21136/CMJ.1981.101754

[1] Bourbaki N.: Algèbre commutative. Hermann, Paris, 196L | Zbl

[2] Conrad P.: Lattice ordered groups. Tulane University 1970. | Zbl

[3] Gilmer R.: Multiplicative ideal theory. Queen's Papers, Lecture Notes No. 12, Kingston, 1968. | MR | Zbl

[4] Gilmer R., Parker T.: Divisibility properties in semigroup rings. Mich. Math. J. 21 (1974), 65-86. | DOI | MR | Zbl

[4a] Gilmer R., Heinzer W. J.: Intersections of quotient rings of an integral domain. J. Math. Kyoto Univ. 7 (1967), 133-150. | DOI | MR | Zbl

[5] Jaffard P.: Les Systèmes d'Idéaux. Dunod, Paris, 1960. | MR | Zbl

[6] Kaplansky L: Commutative rings. Allyn and Bacon, Boston 1970. | MR | Zbl

[7] Maths E.: Torsion-free modules. Univ. of Chicago Press, Chicago, 111., 1972. | MR

[8] Mockof J.: A realization of öf-groups. Czech. Math. J. 27 (1977), 296-312. | MR

[9] Mockof J.: Prüfer d-groups. Czech. Math. J. 28 (1978), 127-139. | MR

[10] Mockof J.: A realization of groups of divisibility. Comment. Math. Univ. Sancti Pauli, Tokyo, XXVI (1911), 61-75. | MR

[11] Mockof J.: Topological groups of divisibility. (to appear in Colloq. Math.). | MR

[12] Mockof J.: A note on approximation theorems. (to appear in Arch. Math.).

[13] Mott J. L.: Convex directed subgroups of a group of divisibility. Can. J. Math. XXVI (3), (1974), 532-542. | DOI | MR | Zbl

[14] Mott J. L., Schexnayder M.: Exact sequences of semi-value groups. J. reine angew. Math., 283/284 (1976), 388-401. | MR | Zbl

[15] Nakano T.: Rings and partly ordered systems. Math. Z. 99 (1967), 355-376. | DOI | MR | Zbl

[16] Ohm J.: Semi-valuations and groups of divisibility. Can. J. Math. XXI (1969), 576-591. | DOI | MR | Zbl

[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

[18] Rachůnek J.: Directed convex subgroups of ordered groups. Acta Univ. Palac. Olomucensis Fac. R. Nat. 41 (1973), 39-46. | MR

[19] Rachůnek J.: Prime subgroups of ordered groups. Czech. Math. J. 24 (1974), 541 - 551. | MR

[20] Sheldon P.: Two counterexamples involving complete integral closure in finite dimensional Prüfer domains. (to appear in J. Algebra). | MR | Zbl

Cité par Sources :