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NIL CLEAN INDEX OF RINGS

Yıl 2014, , 145 - 156, 01.06.2014
https://doi.org/10.24330/ieja.266244

Öz

Motivated by the concept of clean index of rings of Lee and Zhou
we introduce the concept of nil clean index of rings. For any element a of a
ring R with unity, we define η(a) = {e ∈ R | e
2 = e and a−e ∈ nil(R)}, where
nil(R) is the set of all nilpotent elements of R. Then nil clean index of R is
defined by sup{ |η(a)| : a ∈ R} and it is denoted by Nin(R). In this article,
we characterize rings of nil clean indices 1, 2 and 3 and prove some interesting
results pertaining them.

Yıl 2014, , 145 - 156, 01.06.2014
https://doi.org/10.24330/ieja.266244

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA58YR63SV
Bölüm Makaleler
Yazarlar

Dhiren Kumar Basnet Bu kişi benim

Jayanta Bhattacharyya Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2014
Yayımlandığı Sayı Yıl 2014

Kaynak Göster

APA Basnet, D. K., & Bhattacharyya, J. (2014). NIL CLEAN INDEX OF RINGS. International Electronic Journal of Algebra, 15(15), 145-156. https://doi.org/10.24330/ieja.266244
AMA Basnet DK, Bhattacharyya J. NIL CLEAN INDEX OF RINGS. IEJA. Haziran 2014;15(15):145-156. doi:10.24330/ieja.266244
Chicago Basnet, Dhiren Kumar, ve Jayanta Bhattacharyya. “NIL CLEAN INDEX OF RINGS”. International Electronic Journal of Algebra 15, sy. 15 (Haziran 2014): 145-56. https://doi.org/10.24330/ieja.266244.
EndNote Basnet DK, Bhattacharyya J (01 Haziran 2014) NIL CLEAN INDEX OF RINGS. International Electronic Journal of Algebra 15 15 145–156.
IEEE D. K. Basnet ve J. Bhattacharyya, “NIL CLEAN INDEX OF RINGS”, IEJA, c. 15, sy. 15, ss. 145–156, 2014, doi: 10.24330/ieja.266244.
ISNAD Basnet, Dhiren Kumar - Bhattacharyya, Jayanta. “NIL CLEAN INDEX OF RINGS”. International Electronic Journal of Algebra 15/15 (Haziran 2014), 145-156. https://doi.org/10.24330/ieja.266244.
JAMA Basnet DK, Bhattacharyya J. NIL CLEAN INDEX OF RINGS. IEJA. 2014;15:145–156.
MLA Basnet, Dhiren Kumar ve Jayanta Bhattacharyya. “NIL CLEAN INDEX OF RINGS”. International Electronic Journal of Algebra, c. 15, sy. 15, 2014, ss. 145-56, doi:10.24330/ieja.266244.
Vancouver Basnet DK, Bhattacharyya J. NIL CLEAN INDEX OF RINGS. IEJA. 2014;15(15):145-56.

Cited By

Trinil clean index of a ring
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https://doi.org/10.1088/1742-6596/1872/1/012016