TY - JOUR A2 - Rodrigues, W. A. A2 - Kelarev, A. V. A2 - Kressner, D. AU - Cao, Yonglin PY - 2012 DA - 2012/07/19 TI - Cogredient Standard Forms of Symmetric Matrices over Galois Rings of Odd Characteristic SP - 520148 VL - 2012 AB - Let R=GR(ps,psm) be a Galois ring of characteristic ps and cardinality psm, where s and m are positive integers and p is an odd prime number. Two kinds of cogredient standard forms of symmetric matrices over R are given, and an explicit formula to count the number of all distinct cogredient classes of symmetric matrices over R is obtained. SN - null UR - https://doi.org/10.5402/2012/520148 DO - 10.5402/2012/520148 JF - ISRN Algebra PB - International Scholarly Research Network KW - ER -