Cogredient Standard Forms of Symmetric Matrices over Galois Rings of Odd Characteristic. (19th July 2012)

• Record Type: Journal Article
• Authors: Cao, Yonglin
• Other Names: Kelarev A. V. Academic Editor.; Kressner D. Academic Editor.; Rodrigues W. A. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2012(2012)
• Publication Date: 2012-07-19
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.5402/2012/520148
• Languages: English
• ISSNs: 2090-6285

Abstract

Abstract : Let R = GR ( p s, p s m ) be a Galois ring of characteristic p s and cardinality p s m, 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.