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|Title: ||PAIRS OF RINGS WITH A BIJECTIVE CORRESPONDENCE BETWEEN THE PRIME SPECTRA|
|Authors: ||JESPERS, E|
|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.|
|ISI #: ||A1993MG93200006|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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