Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R. Also we investigate the relationship of P(R) and Nr(R) of R with the prime radical and the upper nil radical of the skew Laurent polynomial...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/835605 |
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| _version_ | 1832567257519095808 |
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| author | E. Hashemi |
| author_facet | E. Hashemi |
| author_sort | E. Hashemi |
| collection | DOAJ |
| description | We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R. Also we investigate the relationship of P(R) and Nr(R) of R with the prime radical and the upper nil radical of the skew Laurent polynomial rings. Then by using Jordan's ring, we extend above results to the case where α is not surjective. |
| format | Article |
| id | doaj-art-be18ff0e5dd9446a82194073c558aa91 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-be18ff0e5dd9446a82194073c558aa912025-02-03T01:02:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/835605835605Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial RingsE. Hashemi0School of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-3619995161, Shahrood, IranWe first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R. Also we investigate the relationship of P(R) and Nr(R) of R with the prime radical and the upper nil radical of the skew Laurent polynomial rings. Then by using Jordan's ring, we extend above results to the case where α is not surjective.http://dx.doi.org/10.1155/2008/835605 |
| spellingShingle | E. Hashemi Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings International Journal of Mathematics and Mathematical Sciences |
| title | Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings |
| title_full | Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings |
| title_fullStr | Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings |
| title_full_unstemmed | Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings |
| title_short | Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings |
| title_sort | prime ideals and strongly prime ideals of skew laurent polynomial rings |
| url | http://dx.doi.org/10.1155/2008/835605 |
| work_keys_str_mv | AT ehashemi primeidealsandstronglyprimeidealsofskewlaurentpolynomialrings |