Note on strongly nil clean elements in rings

@article{Kostić2019,
abstract = {Let $R$ be an associative unital ring and let $a\in R$ 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.},
author = {Kostić, Aleksandra, Petrović, Zoran Z., Pucanović, Zoran S., Roslavcev, Maja},
journal = {Czechoslovak Mathematical Journal},
keywords = {nilpotent element; nil clean element},
language = {eng},
number = {1},
pages = {87-92},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Note on strongly nil clean elements in rings},
url = {http://eudml.org/doc/294586},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Kostić, Aleksandra
AU - Petrović, Zoran Z.
AU - Pucanović, Zoran S.
AU - Roslavcev, Maja
TI - Note on strongly nil clean elements in rings
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 1
SP - 87
EP - 92
AB - Let $R$ be an associative unital ring and let $a\in R$ 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.
LA - eng
KW - nilpotent element; nil clean element
UR - http://eudml.org/doc/294586
ER -