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On covering systems on rings. (English) Zbl 0375.13001


MSC:

14E22 Ramification problems in algebraic geometry
11B99 Sequences and sets
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References:

[1] BILLIK M., EDGAR H. M.: Covering sets of congruences. Math. Mag., 46, 1973, 265-270. · Zbl 0275.10004 · doi:10.2307/2688263
[2] GILMER R.: Multiplicative Ideal Theory I. Queen’s Papers on Pure and Applied Math. No. 12, Kingston 1968. · Zbl 0155.36402
[3] KOREC I.: On a generalization of Mycielski’s and Znám’s conjecture. Fund. Math., 85, 1974, 41-48. · Zbl 0286.20053
[4] KRULL W.: Idealtheorie. 2nd Ergebnisse der Math. vol. 46, Springer-Verlag, Berlin 1968. · Zbl 0155.36401
[5] NEUMANN B. H.: Groups covered by finitely many cosets. Publ. Math. (Debrecen), 3, 1953, 227-242. · Zbl 0057.25603
[6] NEUMANN B. H.: Groups covered by permutable groups. J. London Math. Soc., 29, 1954, 236-248. · Zbl 0055.01604 · doi:10.1112/jlms/s1-29.2.236
[7] PORUBSKÝ Š.: On coverings of almost Dedekind domains. Czechoslovak Math. J. 26 (101), 1976, 145-153. · Zbl 0327.13013
[8] PORUBSKÝ Š.: Translated geometric progressions and covering systems. Časop. pěst. mat., to appear in 1978.
[9] SCHINZEL A.: Reducibility of polynomials and covering systems of congruences. Acta Arith., 13, 1967, 91-101. · Zbl 0171.00701
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