Title : ( Coderivations and -Coderivations On Matrix Coalgebra )
Authors: Madjid Mirzavaziri , elham tafazzoli ,
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Abstract
In this paper we study coderivations on Mc n (R), the coal- gebra of n n matrices over R. Proving Mc n(R) is a cosep- arable coalgebra, we show that every coderivation on Mc n (R) is inner. Using this, we demonstrate that if f is a coderiva- tion on Mc n (R) and feijg1i;jn is the canonical R-basis of Mn(R) then f(eij ) = Pn k=1
Keywords
, Coalgebra, coderivation, inner coderivation, -coderivation.
@article{paperid:1032357,
author = {Madjid Mirzavaziri, and Tafazzoli, Elham},
title = {Coderivations and -Coderivations On Matrix Coalgebra},
journal = {International Journal of Open Problems in Computer Science and Mathematics},
year = {2012},
volume = {5},
number = {4},
month = {December},
issn = {1998-6262},
pages = {196--208},
numpages = {12},
keywords = {Coalgebra; coderivation; inner coderivation; -coderivation.},
}
%0 Journal Article
%T Coderivations and -Coderivations On Matrix Coalgebra
%A Madjid Mirzavaziri,
%A Tafazzoli, Elham
%J International Journal of Open Problems in Computer Science and Mathematics
%@ 1998-6262
%D 2012
