Banerjee, Abhishek (2017) Monoidal semifilters and arrays of prime ideals. In: FUNDAMENTA MATHEMATICAE, 237 (3). pp. 281-296.
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Official URL: http://dx.doi.org/10.4064/fm218-8-2016
Abstract
Let R be a commutative ring. If A subset of R is an ideal and F is a monoidal semifilter of ideals in R, we say that a prime ideal P is a realization of (A,F) if P superset of A and P is not an element of F. We give if and only if conditions for the existence of a realization of a family {(At,Ft)}t?T of such pairs indexed by a finite rooted tree T. We also apply our results to trees of prime ideals outside a given monoidal semifilter in a tensor product of algebras.
| Item Type: | Journal Article |
|---|---|
| Publication: | FUNDAMENTA MATHEMATICAE |
| Additional Information: | Copy right for this article belongs to the POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN, 8 SNIADECKICH ST, PL 00 656 WARSZAWA, POLAND |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 25 May 2017 10:09 |
| Last Modified: | 25 May 2017 10:09 |
| URI: | http://eprints.iisc.ac.in/id/eprint/57073 |
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