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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3657

Title: PAIRS OF RINGS WITH A BIJECTIVE CORRESPONDENCE BETWEEN THE PRIME SPECTRA
Authors: JESPERS, E
WAUTERS, Paul
Issue Date: 1993
Publisher: AUSTRALIAN MATHEMATICS PUBL ASSOC INC
Citation: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 55. p. 238-245
Abstract: Let A be a subring of a commutative ring B. If the natural mapping from the prime spectrum of B to the prime spectrum of A is injective (respectively bijective) then the pair (A, B) is said to have the injective (respectively bijective) Spec-map. We give necessary and sufficient conditions for a pair of rings A and B graded by a free abelian group to have the injective (respectively bijective) Spec-map. For this we first deal with the polynomial case. Let l be a field and k a subfield. Then the pair of polynomial rings (k[X], l[X]) has the injective Spec-map if and only if l is a purely inseparable extension of k.
Notes: ECON HOGESCH LIMBURG,B-3590 DIEPENBEEK,BELGIUM. LIMBURGS UNIV CENT,B-3590 DIEPENBEEK,BELGIUM.JESPERS, E, MEM UNIV NEWFOUNDLAND,ST JOHNS A1C 5S7,NEWFOUNDLAND,CANADA.
URI: http://hdl.handle.net/1942/3657
ISI #: A1993MG93200006
ISSN: 0263-6115
Type: Journal Contribution
Appears in Collections: Research publications

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