%A CHEN Dong, WANG Fang-gui, JIAN Hong, CHEN Ming-zhao
%T Structure of modules over 2-strongly Gorenstein semisimple ring with its application
%0 Journal Article
%D 2018
%J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
%R 10.6040/j.issn.1671-9352.0.2017.581
%P 24-30
%V 53
%N 4
%U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_2940.shtml}
%8 2018-04-20
%X The structure of the module M over the local 2-strongly Gorenstein semisimple ring is investigated. Namely, M is uniquely decomposed into a direct sum of indecomposable modules. By the decomposition of M into direct sum, the definition of the rank of finitely generated module M is introduced. It is proved that, the rank defined over the local 2-strongly Gorenstein semisimple ring is the information bit of the linear codes.