Prosolvable subgroups of free products of profinite groups |
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| Authors: | Moshe Jarden |
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| Institution: | School of Mathemtical Sciences , Tel Aviv University , Raymond and Beverly Sackler Faculty of Exact Scientces, Ramat Aviv, Tel Aviv, 69978, Israel E-mail: jarden@math.tau.ac.il |
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| Abstract: | In this paper we establish several equivalent conditions for a commutative ring in which every principal ideal is a finite intersection of prime power ideals to be a general ZPI-ring. Using these results, we establish some equivalent conditions for a commutative ring in which every principal ideal is a finite intersection of primary ideals to be a general ZPI-ring. |
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| Keywords: | General ZPI-ring Multiplication ring C-prime ideal Strong C-prime ideal 1991 Mathematics Subject Classification: 13A15 13F20 13G05 |
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