Many radicals are determined by a property that subsets of a ring may satisfy; for example, the subsets of a ring singled out could be m-systems leading to the prime radical. Here this process is formalized. In addition, the conditions that a property of the subsets must satisfy to ensure that the corresponding radical fulfills a variety of criteria are described.
|Journal||Journal of Algebra and Its Applications|
|Publication status||Published - Apr 2012|
- KuroshAmitsur radical
- completely prime
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics