WEAKLY NIL-CLEAN INDEX AND UNIQUELY WEAKLY NIL-CLEAN RINGS

Andrada Ciımpean; Peter Danchev

doi:https://doi.org/10.24330/ieja.296326

Makale detayları

WEAKLY NIL-CLEAN INDEX AND UNIQUELY WEAKLY NIL-CLEAN RINGS

Yazarlar:

Andrada Ciımpean | Peter Danchev

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.180-197

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000718090

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.296326

Özet:

 


  We introduce and study the weakly nil-clean index associated to a
ring. We also give some simple properties of this index and show that rings with
the weakly nil-clean index 1 are precisely those rings that are abelian weakly
nil-clean, thus showing that they coincide with uniquely weakly nil-clean rings.
Next, we define certain types of nilpotent elements and weakly nil-clean decompositions
by obtaining some results when the weakly nil-clean index is at
most 2 and, moreover, we somewhat characterize rings with weakly nil-clean
index 2. After that, we compute the weakly nil-clean index for T2(Zp), T3(Zp)
and M2(Z3), respectively, as well as we establish a result on the weakly nilclean
index of Mn(R) whenever R is a ring. Our results considerably extend
and correct the corresponding ones from [Int. Electron. J. Algebra 15(2014),
145–156]

.

Makale detayları

WEAKLY NIL-CLEAN INDEX AND UNIQUELY WEAKLY NIL-CLEAN RINGS

Yazarlar: Andrada Ciımpean | Peter Danchev

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.180-197

Belge Tipi: Makale

Yayın Tarihi: 1/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000718090

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.296326

Sayı

Yazarlar:

Andrada Ciımpean | Peter Danchev

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.180-197

Belge Tipi:

Makale

Yayın Tarihi:

1/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000718090

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.296326