%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.