Note on Strongly Nil Clean Elements in Rings
Само за регистроване кориснике
2019
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new idea for examining the properties of these elements. This approach allows us to generalize some results on nil clean and strongly nil clean rings. Also, using this technique many previous proofs can be significantly shortened. Some shorter proofs concerning nil clean elements in rings in general, and in matrix rings in particular, are presented, together with some generalizations of these results.
Кључне речи:
nilpotent element / nil clean elementИзвор:
Czechoslovak Mathematical Journal, 2019, 69, 1, 87-92Издавач:
- Springer New York LLC
Финансирање / пројекти:
- Анализа и алгебра са применама (RS-174032)
DOI: 10.21136/CMJ.2018.0167-17
ISSN: 0011-4642