Loading...
Please wait, while we are loading the content...
Similar Documents
Prime essential rings
| Content Provider | Scilit |
|---|---|
| Author | Gardner, B. J. Stewart, P. N. |
| Copyright Year | 1991 |
| Description | A ring R is prime essential if R is semiprime and for each prime ideal P of R, P ∩ I ≠0 whenever I is a nonzero two-sided ideal of R. Examples of prime essential rings include rings of continuous functions and infinite products modulo infinite sums. We show that the class of prime essential rings is closed under many familiar operations; in particular, we consider polynomial rings, matix rings, fixed rings and skew group rings. Also, we explore the relationship between prime essential rings and special radical classes, and we demonstrate how prime essential rings can be used to construct radical classes which are not special. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C3756D37B57295CA4439C3F4E7323D93/S0013091500007148a.pdf/div-class-title-prime-essential-rings-div.pdf |
| Ending Page | 250 |
| Page Count | 10 |
| Starting Page | 241 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500007148 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 2 |
| Volume Number | 34 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1991-06-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Essential Rings Prime Essential |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
