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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 | Source: | 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. | Document URI: | http://hdl.handle.net/1942/3657 | ISI #: | A1993MG93200006 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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