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Associative rings in which nilpotents form an ideal
Authors:
- Orest D. Artemovych
Abstract
It is shown that if N (R) is a Lie ideal of R (respectively Jordan ideal andRis 2-torsion-free), then N (R) is an ideal. Also, it is presented a characterization of Noetherian NR ringswith central idempotents (respectively with the commutative set of nilpotent elements, the Abelian unit group, the commutative commutator set).
- Record ID
- CUT4fd59ec037a549b5862aaac159f67560
- Publication categories
- ;
- Author
- Journal series
- Studia Scientiarum Mathematicarum Hungarica, ISSN 0081-6906, e-ISSN 1588-2896
- Issue year
- 2019
- Vol
- 56
- No
- 2
- Pages
- 177-184
- Other elements of collation
- Bibliografia (na s.) - 183-184; Bibliografia (liczba pozycji) - 30; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 56, Iss. 2
- Keywords in English
- NI ring, NR ring, Noetherian ring, unit central ring, unit group
- DOI
- DOI:10.1556/012.2019.56.2.1428 Opening in a new tab
- URL
- https://akademiai.com/doi/pdf/10.1556/012.2019.56.2.1428 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT4fd59ec037a549b5862aaac159f67560/
- URN
urn:pkr-prod:CUT4fd59ec037a549b5862aaac159f67560
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.