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
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

Show full item record

Page view(s)

76
checked on May 23, 2022

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.