scholarly journals Additive maps preserving zero skew <italic>ξ</italic>-Lie products

2015 ◽  
Vol 45 (2) ◽  
pp. 151-165
Author(s):  
JinChuan HOU ◽  
JianLian CUI ◽  
XiaoFei QI
Keyword(s):  
Additive Maps ◽  
Zero Skew

On additive maps of prime rings satisfying the engel condition

1997 ◽  
Vol 25 (12) ◽  
pp. 3889-3902 ◽  
Author(s):  
K.L Beidar ◽  
Y Fong ◽  
P.-H Lee ◽  
T.-L Wong
Keyword(s):  
Prime Rings ◽  
Engel Condition ◽  
Additive Maps

scholarly journals Additive maps derivable at some points on J-subspace lattice algebras

2008 ◽  
Vol 429 (8-9) ◽  
pp. 1851-1863 ◽  
Author(s):  
Jinchuan Hou ◽  
Xiaofei Qi
Keyword(s):  
Subspace Lattice ◽  
Additive Maps

Additive Maps Preserving Drazin Invertible Operators of Index One

2016 ◽  
Vol 116A (1) ◽  
pp. 19-34
Author(s):  
Mostafa Mbekhta ◽  
Mourad Oudghiri ◽  
Khalid Souilah
Keyword(s):  
Additive Maps

Additive Maps on Units of Rings

2018 ◽  
Vol 61 (1) ◽  
pp. 130-141
Author(s):  
Tamer Košan ◽  
Serap Sahinkaya ◽  
Yiqiang Zhou
Keyword(s):  
Recent Result ◽  
Direct Product ◽  
Homomorphic Image ◽  
Semilocal Ring ◽  
Additive Map ◽  
Exchange Rings ◽  
Additive Maps

AbstractLet R be a ring. A map f: R → R is additive if f(a + b) = f(a) + f(b) for all elements a and b of R. Here, a map f: R → R is called unit-additive if f(u + v) = f(u) + f(v) for all units u and v of R. Motivated by a recent result of Xu, Pei and Yi showing that, for any field F, every unit-additive map of (F) is additive for all n ≥ z, this paper is about the question of when every unit-additivemap of a ring is additive. It is proved that every unit-additivemap of a semilocal ring R is additive if and only if either R has no homomorphic image isomorphic to or R/J(R) ≅ with 2 = 0 in R. Consequently, for any semilocal ring R, every unit-additive map of (R) is additive for all n ≥ 2. These results are further extended to rings R such that R/J(R) is a direct product of exchange rings with primitive factors Artinian. A unit-additive map f of a ring R is called unithomomorphic if f(uv) = f(u)f(v) for all units u, v of R. As an application, the question of when every unit-homomorphic map of a ring is an endomorphism is addressed.

A single layer zero skew clock routing in X architecture

2009 ◽  
Vol 52 (8) ◽  
pp. 1466-1475 ◽  
Author(s):  
WeiXiang Shen ◽  
YiCi Cai ◽  
XianLong Hong ◽  
Jiang Hu ◽  
Bing Lu
Keyword(s):  
Single Layer ◽  
Clock Routing ◽  
X Architecture ◽  
Zero Skew
Sign in / Sign up

Export Citation Format

Share Document