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Characterizations of Elements in Prime Radicals of Skew Polynomial Rings and Skew Laurent Polynomial Rings
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cheon, Jeoung Soo Kim, Eun Jeong Lee, Chang Ik Shin, Yun Ho |
| Copyright Year | 2011 |
| Abstract | We show that the θ-prime radical of a ring R is the set of all strongly θ-nilpotent elements in R, where θ is an automorphism of R. We observe some conditions under which the θ-prime radical of R coincides with the prime radical of R. Moreover we characterize elements in prime radicals of skew Laurent polynomial rings, studying (θ, θ−1)(semi)primeness of ideals of R. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ocean.kisti.re.kr/downfile/volume/kms/E1BMAX/2011/v48n2/E1BMAX_2011_v48n2_277.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |