- Tytuł:
- A characterization of weakly J(n)-rings
- Autorzy:
- Danchev, P. V.
- Powiązania:
- https://bibliotekanauki.pl/articles/2052406.pdf
- Data publikacji:
- 2018
- Wydawca:
- Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
- Tematy:
-
Boolean rings
idempotents
units
nilpotents
Jacobson radical
J (n)-rings
pierścień Boole'a
idempotent pierścienia
element idempotentny
jednostki
nilpotent pierścienia
element nilpotentny
rodnik Jacobsona - Opis:
- A ring $R$ is called a J(n)-ring if there exists a natural number $n \geq 1$ such that for each element $r \in R$ the equality $r^{n+1} = r$ holds and a weakly J(n)-ring if there exists a natural number $n \geq 1$ such that for each element $r \in R$ the equalities $r^{n+1} = r$ or $r^{n+1} = -r$ hold. We completely describe both classes of these rings R for any n, thus considerably extending some well-known results in the subject, especially that of V. Perić in Publ. Inst. Math. Beograd (1983) as well as, in particular, the classical description of Boolean rings when n = 1.
- Źródło:
-
Journal of Mathematics and Applications; 2018, 41; 53-61
1733-6775
2300-9926 - Pojawia się w:
- Journal of Mathematics and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł