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% Guidelines for authors for abstracts of the NCRA,VI-2019

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% This is a sample input file for your abstract of the NCRA,V-2017
%
%

% Please save the file as "yourname_NCRA".
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%%%%%%%%%%%%%%%%RECOMMENDED%%%%%%%%%%%%%%%%%%%%%%%%%%%

\documentclass{article}

\textheight 18.9cm\textwidth 11.7cm\topmargin 0cm \hoffset=0cm
\setlength\oddsidemargin   {2cm}
\setlength\evensidemargin  {2cm}

\def\title#1{{\Large\bf  \begin{center} #1 \vspace{0pt} \end{center}  } }
\def\authors#1{{\large\bf \begin{center} #1 \vspace{0pt} \end{center} } }
\def\university#1{{\sl \begin{center} #1 \vspace{0pt} \end{center} } }
\def\inst#1{\unskip $^{#1}$}


\begin{document}

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%
%%%%%%%%%%%%%%%%%AUTHOR_STYLES_AND_DEFINITIONS%%%
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%%%%%%%%%%%% Please reduce your own definitions and macros to an absolute
%%%%%%%%%%%% minimum. Use your own definitions and macros if it is
%%%%%%%%%%%% absolutely necessary for typesetting your manuscript.
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%%%%%%%%%%%                               %%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%  TITLE OF ARTCLE%%%%%%%%%%%%%%%%%

\title{Title of the Talk}

\bigskip

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%
% \authors specifies the authors. Please use initials.
% Use the \inst{1} , \inst{2} & \inst{3} commands
% to define the reference mark to your affiliation.
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\centerline{\bf {\large A. Speaker } }
\vspace{3mm}
\centerline{ \it{ Ssss University, Place 1, Nation1} }

\vspace{3mm} 
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% If your talk is based on a joint work please add
%your co-authors.
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\centerline{\bf {a joint work with} }

\vspace{3mm}
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% \authors specifies the co-authors. Please use initials.
% Use the \inst{1} , \inst{2} & \inst{3} commands
% to define the reference mark to your affiliation.
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 \authors{B. Co-author 1\inst{1}, % PLEASE REMOVE ',' IN CASE OF SINGLE AUTHOR 
%AND MAY KEEP '\&' INCASE OF ONLY TWO AUTHORS
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 C. Co-author 2\inst{2}, \& % PLEASE USE '%' IN THE BEGINNING IN CASE OF SINGLE AUTHOR;  REMOVE ',' IN CASE OF TWO AUTHORS
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D. Co-author 3.\inst{3}% PLEASE KEEP '%' IN THE BEGINNING IN CASE OF LESS THAN 3 AUTHORS
 }
\smallskip

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%
% The \university command lets you specify your affiliation.
% Please, write only the name of your university, city (if necessary) and country.
% Seperate two or more different affiliations by the \\ command.
%
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\university{\inst{1}Xxxxl University, Place 1, Nation1        }
\university{\inst{2}Yyyy University, Place 2, Nation2        }% PLEASE KEEP  IN THE BEGINNING OF LINE'%' IN CASE OF LESS THAN 2 INSTT
\university{\inst{3}Zzzz University, Place 3, Nation3    }% PLEASE KEEP  IN THE BEGINNING OF LINE'%' IN CASE OF LESS THAN 3 INSTT


\begin{abstract}

Abstract may be written here.

\end{abstract}

\bigskip

\noindent {\large\bf Keywords}

\medskip

\noindent 

Lee Weight, Frobenius algebras, Clean rings.
.

\begin{thebibliography}{1}
\bibitem{Go} K.\,R.~Goodearl: {\it Von Neumann Regular Rings.} 
Krieger Publishing Company, Malabar, Florida, 1991.
\bibitem{La1} T.\,Y.~Lam:  {\it A First Course in Noncommutative 
Rings.}  Second Edition, Graduate Texts in Math., Vol.~{\bf 131}, 2001. 
\bibitem{NRS} G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory,
Springer-Verlag, 2006.
\bibitem{RM}
C.R.~Rao and S.K.~Mitra (1971). \textit{Generalized Inverse of Matrices and Its Applications}, Wiley, New York.
\end{thebibliography}

\end{document}
d Weak Bi-Complemen